%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET997+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:57:55 AM UTC 2026
% Result : Theorem 3.65s 3.91s
% Output : Proof 3.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc1_funct_1,axiom,
! [A] :
( empty(A)
=> function(A) ),
file('theBenchmark.p',cc1_funct_1) ).
fof(cc1_relat_1,axiom,
! [A] :
( empty(A)
=> relation(A) ),
file('theBenchmark.p',cc1_relat_1) ).
fof(d3_tarski,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('theBenchmark.p',d3_tarski) ).
fof(d5_funct_1,axiom,
! [A] :
( ( function(A)
& relation(A) )
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) ) ) ) ),
file('theBenchmark.p',d5_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : element(B,A),
file('theBenchmark.p',existence_m1_subset_1) ).
fof(fc12_relat_1,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('theBenchmark.p',fc12_relat_1) ).
fof(fc1_subset_1,axiom,
! [A] : ~ empty(powerset(A)),
file('theBenchmark.p',fc1_subset_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('theBenchmark.p',fc1_xboole_0) ).
fof(fc4_relat_1,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('theBenchmark.p',fc4_relat_1) ).
fof(fc5_relat_1,axiom,
! [A] :
( ( relation(A)
& ~ empty(A) )
=> ~ empty(relation_dom(A)) ),
file('theBenchmark.p',fc5_relat_1) ).
fof(fc6_relat_1,axiom,
! [A] :
( ( relation(A)
& ~ empty(A) )
=> ~ empty(relation_rng(A)) ),
file('theBenchmark.p',fc6_relat_1) ).
fof(fc7_relat_1,axiom,
! [A] :
( empty(A)
=> ( relation(relation_dom(A))
& empty(relation_dom(A)) ) ),
file('theBenchmark.p',fc7_relat_1) ).
fof(fc8_relat_1,axiom,
! [A] :
( empty(A)
=> ( relation(relation_rng(A))
& empty(relation_rng(A)) ) ),
file('theBenchmark.p',fc8_relat_1) ).
fof(rc1_funct_1,axiom,
? [A] :
( function(A)
& relation(A) ),
file('theBenchmark.p',rc1_funct_1) ).
fof(rc1_relat_1,axiom,
? [A] :
( relation(A)
& empty(A) ),
file('theBenchmark.p',rc1_relat_1) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ empty(A)
=> ? [B] :
( ~ empty(B)
& element(B,powerset(A)) ) ),
file('theBenchmark.p',rc1_subset_1) ).
fof(rc1_xboole_0,axiom,
? [A] : empty(A),
file('theBenchmark.p',rc1_xboole_0) ).
fof(rc2_relat_1,axiom,
? [A] :
( relation(A)
& ~ empty(A) ),
file('theBenchmark.p',rc2_relat_1) ).
fof(rc2_subset_1,axiom,
! [A] :
? [B] :
( empty(B)
& element(B,powerset(A)) ),
file('theBenchmark.p',rc2_subset_1) ).
fof(rc2_xboole_0,axiom,
? [A] : ~ empty(A),
file('theBenchmark.p',rc2_xboole_0) ).
fof(rc3_relat_1,axiom,
? [A] :
( relation_empty_yielding(A)
& relation(A) ),
file('theBenchmark.p',rc3_relat_1) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(t19_funct_1,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( ! [C] :
~ ( ! [D] :
~ ( C = apply(B,D)
& in(D,relation_dom(B)) )
& in(C,A) )
=> subset(A,relation_rng(B)) ) ),
file('theBenchmark.p',t19_funct_1) ).
fof(t1_subset,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('theBenchmark.p',t2_subset) ).
fof(t3_subset,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( element(B,powerset(C))
& in(A,B) )
=> element(A,C) ),
file('theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [A,B,C] :
~ ( empty(C)
& element(B,powerset(C))
& in(A,B) ),
file('theBenchmark.p',t5_subset) ).
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
file('theBenchmark.p',t6_boole) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( empty(B)
& in(A,B) ),
file('theBenchmark.p',t7_boole) ).
fof(t8_boole,axiom,
! [A,B] :
~ ( empty(B)
& A != B
& empty(A) ),
file('theBenchmark.p',t8_boole) ).
fof(f_1_1,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ~ in(U_0,U_1)
| ~ in(U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( ~ in(U_0,U_1)
| ~ in(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [A] :
( function(A)
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[cc1_funct_1]) ).
fof(f_2_2,plain,
! [U_2] :
( function(U_2)
| ~ empty(U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( function(U_2)
| ~ empty(U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A] :
( relation(A)
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[cc1_relat_1]) ).
fof(f_3_2,plain,
! [U_3] :
( relation(U_3)
| ~ empty(U_3) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( relation(U_3)
| ~ empty(U_3) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B] :
( ( subset(A,B)
| ? [C] :
( ~ in(C,B)
& in(C,A) ) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(fof_nnf,[status(thm)],[d3_tarski]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( ( subset(U_7,U_6)
| ? [U_5] :
( ~ in(U_5,U_6)
& in(U_5,U_7) ) )
& ( ! [U_4] :
( in(U_4,U_6)
| ~ in(U_4,U_7) )
| ~ subset(U_7,U_6) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_11,U_9] :
( subset(U_11,U_9)
| ? [U_5] :
( ~ in(U_5,U_9)
& in(U_5,U_11) ) )
& ! [U_10,U_8] :
( ! [U_4] :
( in(U_4,U_8)
| ~ in(U_4,U_10) )
| ~ subset(U_10,U_8) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_11,U_9] :
( subset(U_11,U_9)
| ( ~ in(sK1(U_11,U_9),U_9)
& in(sK1(U_11,U_9),U_11) ) )
& ! [U_10,U_8] :
( ! [U_4] :
( in(U_4,U_8)
| ~ in(U_4,U_10) )
| ~ subset(U_10,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_5,sK1(U_11,U_9))],[f_4_3]) ).
cnf(f_4_5,plain,
( in(U_4,U_8)
| ~ in(U_4,U_10)
| ~ subset(U_10,U_8) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( in(sK1(U_11,U_9),U_11)
| subset(U_11,U_9) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( ~ in(sK1(U_11,U_9),U_9)
| subset(U_11,U_9) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [A] :
( ! [B] :
( ( B = relation_rng(A)
| ? [C] :
( ( ~ in(C,B)
& ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) ) )
| ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
& in(C,B) ) ) )
& ( ! [C] :
( ( in(C,B)
| ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) ) )
& ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d5_funct_1]) ).
fof(f_5_2,plain,
! [U_19] :
( ! [U_18] :
( ( U_18 = relation_rng(U_19)
| ? [U_17] :
( ( ~ in(U_17,U_18)
& ? [U_16] :
( U_17 = apply(U_19,U_16)
& in(U_16,relation_dom(U_19)) ) )
| ( ! [U_15] :
( U_17 != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19)) )
& in(U_17,U_18) ) ) )
& ( ! [U_14] :
( ( in(U_14,U_18)
| ! [U_13] :
( U_14 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19)) ) )
& ( ? [U_12] :
( U_14 = apply(U_19,U_12)
& in(U_12,relation_dom(U_19)) )
| ~ in(U_14,U_18) ) )
| U_18 != relation_rng(U_19) ) )
| ~ function(U_19)
| ~ relation(U_19) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_19] :
( ( ! [U_25] :
( U_25 = relation_rng(U_19)
| ? [U_23] :
( ~ in(U_23,U_25)
& ? [U_16] :
( U_23 = apply(U_19,U_16)
& in(U_16,relation_dom(U_19)) ) )
| ? [U_22] :
( ! [U_15] :
( U_22 != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19)) )
& in(U_22,U_25) ) )
& ! [U_24] :
( ( ! [U_21] :
( in(U_21,U_24)
| ! [U_13] :
( U_21 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19)) ) )
& ! [U_20] :
( ? [U_12] :
( U_20 = apply(U_19,U_12)
& in(U_12,relation_dom(U_19)) )
| ~ in(U_20,U_24) ) )
| U_24 != relation_rng(U_19) ) )
| ~ function(U_19)
| ~ relation(U_19) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
! [U_19] :
( ( ! [U_25] :
( U_25 = relation_rng(U_19)
| ? [U_23] :
( ~ in(U_23,U_25)
& ? [U_16] :
( U_23 = apply(U_19,U_16)
& in(U_16,relation_dom(U_19)) ) )
| ? [U_22] :
( ! [U_15] :
( U_22 != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19)) )
& in(U_22,U_25) ) )
& ! [U_24] :
( ( ! [U_21] :
( in(U_21,U_24)
| ! [U_13] :
( U_21 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19)) ) )
& ! [U_20] :
( ( U_20 = apply(U_19,sK2(U_19,U_24,U_20))
& in(sK2(U_19,U_24,U_20),relation_dom(U_19)) )
| ~ in(U_20,U_24) ) )
| U_24 != relation_rng(U_19) ) )
| ~ function(U_19)
| ~ relation(U_19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_12,sK2(U_19,U_24,U_20))],[f_5_3]) ).
fof(f_5_5,plain,
! [U_19] :
( ( ! [U_25] :
( U_25 = relation_rng(U_19)
| ? [U_23] :
( ~ in(U_23,U_25)
& ? [U_16] :
( U_23 = apply(U_19,U_16)
& in(U_16,relation_dom(U_19)) ) )
| ( ! [U_15] :
( sK3(U_19,U_25) != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19)) )
& in(sK3(U_19,U_25),U_25) ) )
& ! [U_24] :
( ( ! [U_21] :
( in(U_21,U_24)
| ! [U_13] :
( U_21 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19)) ) )
& ! [U_20] :
( ( U_20 = apply(U_19,sK2(U_19,U_24,U_20))
& in(sK2(U_19,U_24,U_20),relation_dom(U_19)) )
| ~ in(U_20,U_24) ) )
| U_24 != relation_rng(U_19) ) )
| ~ function(U_19)
| ~ relation(U_19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_22,sK3(U_19,U_25))],[f_5_4]) ).
fof(f_5_6,plain,
! [U_19] :
( ( ! [U_25] :
( U_25 = relation_rng(U_19)
| ( ~ in(sK4(U_19,U_25),U_25)
& ? [U_16] :
( sK4(U_19,U_25) = apply(U_19,U_16)
& in(U_16,relation_dom(U_19)) ) )
| ( ! [U_15] :
( sK3(U_19,U_25) != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19)) )
& in(sK3(U_19,U_25),U_25) ) )
& ! [U_24] :
( ( ! [U_21] :
( in(U_21,U_24)
| ! [U_13] :
( U_21 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19)) ) )
& ! [U_20] :
( ( U_20 = apply(U_19,sK2(U_19,U_24,U_20))
& in(sK2(U_19,U_24,U_20),relation_dom(U_19)) )
| ~ in(U_20,U_24) ) )
| U_24 != relation_rng(U_19) ) )
| ~ function(U_19)
| ~ relation(U_19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_23,sK4(U_19,U_25))],[f_5_5]) ).
fof(f_5_7,plain,
! [U_19] :
( ( ! [U_25] :
( U_25 = relation_rng(U_19)
| ( ~ in(sK4(U_19,U_25),U_25)
& sK4(U_19,U_25) = apply(U_19,sK5(U_19,U_25))
& in(sK5(U_19,U_25),relation_dom(U_19)) )
| ( ! [U_15] :
( sK3(U_19,U_25) != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19)) )
& in(sK3(U_19,U_25),U_25) ) )
& ! [U_24] :
( ( ! [U_21] :
( in(U_21,U_24)
| ! [U_13] :
( U_21 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19)) ) )
& ! [U_20] :
( ( U_20 = apply(U_19,sK2(U_19,U_24,U_20))
& in(sK2(U_19,U_24,U_20),relation_dom(U_19)) )
| ~ in(U_20,U_24) ) )
| U_24 != relation_rng(U_19) ) )
| ~ function(U_19)
| ~ relation(U_19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_16,sK5(U_19,U_25))],[f_5_6]) ).
cnf(f_5_8,plain,
( in(sK2(U_19,U_24,U_20),relation_dom(U_19))
| ~ in(U_20,U_24)
| U_24 != relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_9,plain,
( U_20 = apply(U_19,sK2(U_19,U_24,U_20))
| ~ in(U_20,U_24)
| U_24 != relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_10,plain,
( in(U_21,U_24)
| U_21 != apply(U_19,U_13)
| ~ in(U_13,relation_dom(U_19))
| U_24 != relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_11,plain,
( in(sK5(U_19,U_25),relation_dom(U_19))
| in(sK3(U_19,U_25),U_25)
| U_25 = relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_12,plain,
( sK4(U_19,U_25) = apply(U_19,sK5(U_19,U_25))
| in(sK3(U_19,U_25),U_25)
| U_25 = relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_13,plain,
( ~ in(sK4(U_19,U_25),U_25)
| in(sK3(U_19,U_25),U_25)
| U_25 = relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_14,plain,
( in(sK5(U_19,U_25),relation_dom(U_19))
| sK3(U_19,U_25) != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19))
| U_25 = relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_15,plain,
( sK4(U_19,U_25) = apply(U_19,sK5(U_19,U_25))
| sK3(U_19,U_25) != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19))
| U_25 = relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_16,plain,
( ~ in(sK4(U_19,U_25),U_25)
| sK3(U_19,U_25) != apply(U_19,U_15)
| ~ in(U_15,relation_dom(U_19))
| U_25 = relation_rng(U_19)
| ~ function(U_19)
| ~ relation(U_19) ),
inference(clausify,[status(thm)],[f_5_7]) ).
fof(f_6_1,plain,
! [A] :
? [B] : element(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_6_2,plain,
! [U_27] :
? [U_26] : element(U_26,U_27),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_27] : element(sK6(U_27),U_27),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_26,sK6(U_27))],[f_6_2]) ).
cnf(f_6_4,plain,
element(sK6(U_27),U_27),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
inference(fof_nnf,[status(thm)],[fc12_relat_1]) ).
cnf(f_7_2,plain,
empty(empty_set),
inference(clausify,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
relation(empty_set),
inference(clausify,[status(thm)],[f_7_1]) ).
cnf(f_7_4,plain,
relation_empty_yielding(empty_set),
inference(clausify,[status(thm)],[f_7_1]) ).
fof(f_8_1,plain,
! [A] : ~ empty(powerset(A)),
inference(fof_nnf,[status(thm)],[fc1_subset_1]) ).
fof(f_8_2,plain,
! [U_28] : ~ empty(powerset(U_28)),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
~ empty(powerset(U_28)),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
empty(empty_set),
inference(fof_nnf,[status(thm)],[fc1_xboole_0]) ).
cnf(f_9_2,plain,
empty(empty_set),
inference(clausify,[status(thm)],[f_9_1]) ).
fof(f_10_1,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(fof_nnf,[status(thm)],[fc4_relat_1]) ).
cnf(f_10_2,plain,
empty(empty_set),
inference(clausify,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
relation(empty_set),
inference(clausify,[status(thm)],[f_10_1]) ).
fof(f_11_1,plain,
! [A] :
( ~ empty(relation_dom(A))
| ~ relation(A)
| empty(A) ),
inference(fof_nnf,[status(thm)],[fc5_relat_1]) ).
fof(f_11_2,plain,
! [U_29] :
( ~ empty(relation_dom(U_29))
| ~ relation(U_29)
| empty(U_29) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( ~ empty(relation_dom(U_29))
| ~ relation(U_29)
| empty(U_29) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [A] :
( ~ empty(relation_rng(A))
| ~ relation(A)
| empty(A) ),
inference(fof_nnf,[status(thm)],[fc6_relat_1]) ).
fof(f_12_2,plain,
! [U_30] :
( ~ empty(relation_rng(U_30))
| ~ relation(U_30)
| empty(U_30) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( ~ empty(relation_rng(U_30))
| ~ relation(U_30)
| empty(U_30) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [A] :
( ( relation(relation_dom(A))
& empty(relation_dom(A)) )
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[fc7_relat_1]) ).
fof(f_13_2,plain,
! [U_31] :
( ( relation(relation_dom(U_31))
& empty(relation_dom(U_31)) )
| ~ empty(U_31) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( empty(relation_dom(U_31))
| ~ empty(U_31) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( relation(relation_dom(U_31))
| ~ empty(U_31) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [A] :
( ( relation(relation_rng(A))
& empty(relation_rng(A)) )
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[fc8_relat_1]) ).
fof(f_14_2,plain,
! [U_32] :
( ( relation(relation_rng(U_32))
& empty(relation_rng(U_32)) )
| ~ empty(U_32) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( empty(relation_rng(U_32))
| ~ empty(U_32) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( relation(relation_rng(U_32))
| ~ empty(U_32) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
? [A] :
( function(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_15_2,plain,
? [U_33] :
( function(U_33)
& relation(U_33) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( function(sK7)
& relation(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_33,sK7)],[f_15_2]) ).
cnf(f_15_4,plain,
relation(sK7),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_5,plain,
function(sK7),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
? [A] :
( relation(A)
& empty(A) ),
inference(fof_nnf,[status(thm)],[rc1_relat_1]) ).
fof(f_16_2,plain,
? [U_34] :
( relation(U_34)
& empty(U_34) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( relation(sK8)
& empty(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_34,sK8)],[f_16_2]) ).
cnf(f_16_4,plain,
empty(sK8),
inference(clausify,[status(thm)],[f_16_3]) ).
cnf(f_16_5,plain,
relation(sK8),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A] :
( ? [B] :
( ~ empty(B)
& element(B,powerset(A)) )
| empty(A) ),
inference(fof_nnf,[status(thm)],[rc1_subset_1]) ).
fof(f_17_2,plain,
! [U_36] :
( ? [U_35] :
( ~ empty(U_35)
& element(U_35,powerset(U_36)) )
| empty(U_36) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_36] :
( ( ~ empty(sK9(U_36))
& element(sK9(U_36),powerset(U_36)) )
| empty(U_36) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_35,sK9(U_36))],[f_17_2]) ).
cnf(f_17_4,plain,
( element(sK9(U_36),powerset(U_36))
| empty(U_36) ),
inference(clausify,[status(thm)],[f_17_3]) ).
cnf(f_17_5,plain,
( ~ empty(sK9(U_36))
| empty(U_36) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
? [A] : empty(A),
inference(fof_nnf,[status(thm)],[rc1_xboole_0]) ).
fof(f_18_2,plain,
? [U_37] : empty(U_37),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
empty(sK10),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_37,sK10)],[f_18_2]) ).
cnf(f_18_4,plain,
empty(sK10),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
? [A] :
( relation(A)
& ~ empty(A) ),
inference(fof_nnf,[status(thm)],[rc2_relat_1]) ).
fof(f_19_2,plain,
? [U_38] :
( relation(U_38)
& ~ empty(U_38) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( relation(sK11)
& ~ empty(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_38,sK11)],[f_19_2]) ).
cnf(f_19_4,plain,
~ empty(sK11),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_5,plain,
relation(sK11),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A] :
? [B] :
( empty(B)
& element(B,powerset(A)) ),
inference(fof_nnf,[status(thm)],[rc2_subset_1]) ).
fof(f_20_2,plain,
! [U_40] :
? [U_39] :
( empty(U_39)
& element(U_39,powerset(U_40)) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_40] :
( empty(sK12(U_40))
& element(sK12(U_40),powerset(U_40)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_39,sK12(U_40))],[f_20_2]) ).
cnf(f_20_4,plain,
element(sK12(U_40),powerset(U_40)),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_5,plain,
empty(sK12(U_40)),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
? [A] : ~ empty(A),
inference(fof_nnf,[status(thm)],[rc2_xboole_0]) ).
fof(f_21_2,plain,
? [U_41] : ~ empty(U_41),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
~ empty(sK13),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_41,sK13)],[f_21_2]) ).
cnf(f_21_4,plain,
~ empty(sK13),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
? [A] :
( relation_empty_yielding(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[rc3_relat_1]) ).
fof(f_22_2,plain,
? [U_42] :
( relation_empty_yielding(U_42)
& relation(U_42) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( relation_empty_yielding(sK14)
& relation(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_42,sK14)],[f_22_2]) ).
cnf(f_22_4,plain,
relation(sK14),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_5,plain,
relation_empty_yielding(sK14),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [A,B] : subset(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_23_2,plain,
! [U_44,U_43] : subset(U_44,U_44),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_44] : subset(U_44,U_44),
inference(miniscope,[status(thm)],[f_23_2]) ).
cnf(f_23_4,plain,
subset(U_44,U_44),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ( ! [C] :
~ ( ! [D] :
~ ( C = apply(B,D)
& in(D,relation_dom(B)) )
& in(C,A) )
=> subset(A,relation_rng(B)) ) ),
inference(negate,[status(cth)],[t19_funct_1]) ).
fof(f_24_2,negated_conjecture,
? [A,B] :
( ~ subset(A,relation_rng(B))
& ! [C] :
( ? [D] :
( C = apply(B,D)
& in(D,relation_dom(B)) )
| ~ in(C,A) )
& function(B)
& relation(B) ),
inference(fof_nnf,[status(thm)],[f_24_1]) ).
fof(f_24_3,negated_conjecture,
? [U_48,U_47] :
( ~ subset(U_48,relation_rng(U_47))
& ! [U_46] :
( ? [U_45] :
( U_46 = apply(U_47,U_45)
& in(U_45,relation_dom(U_47)) )
| ~ in(U_46,U_48) )
& function(U_47)
& relation(U_47) ),
inference(variable_rename,[status(thm)],[f_24_2]) ).
fof(f_24_4,negated_conjecture,
? [U_47] :
( ~ subset(sK15,relation_rng(U_47))
& ! [U_46] :
( ? [U_45] :
( U_46 = apply(U_47,U_45)
& in(U_45,relation_dom(U_47)) )
| ~ in(U_46,sK15) )
& function(U_47)
& relation(U_47) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_48,sK15)],[f_24_3]) ).
fof(f_24_5,negated_conjecture,
( ~ subset(sK15,relation_rng(sK16))
& ! [U_46] :
( ? [U_45] :
( U_46 = apply(sK16,U_45)
& in(U_45,relation_dom(sK16)) )
| ~ in(U_46,sK15) )
& function(sK16)
& relation(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_47,sK16)],[f_24_4]) ).
fof(f_24_6,negated_conjecture,
( ~ subset(sK15,relation_rng(sK16))
& ! [U_46] :
( ( U_46 = apply(sK16,sK17(U_46))
& in(sK17(U_46),relation_dom(sK16)) )
| ~ in(U_46,sK15) )
& function(sK16)
& relation(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_45,sK17(U_46))],[f_24_5]) ).
fof(f_24_7,negated_conjecture,
( ! [U_46] :
( U_46 = apply(sK16,sK17(U_46))
| ~ sP0(U_46) )
& ! [U_46] :
( in(sK17(U_46),relation_dom(sK16))
| ~ sP0(U_46) )
& ~ subset(sK15,relation_rng(sK16))
& ! [U_46] :
( sP0(U_46)
| ~ in(U_46,sK15) )
& function(sK16)
& relation(sK16) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_24_6]) ).
cnf(f_24_8,negated_conjecture,
relation(sK16),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_9,negated_conjecture,
function(sK16),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_10,negated_conjecture,
( sP0(U_46)
| ~ in(U_46,sK15) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_11,negated_conjecture,
~ subset(sK15,relation_rng(sK16)),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_12,negated_conjecture,
( in(sK17(U_46),relation_dom(sK16))
| ~ sP0(U_46) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_13,negated_conjecture,
( U_46 = apply(sK16,sK17(U_46))
| ~ sP0(U_46) ),
inference(clausify,[status(thm)],[f_24_7]) ).
fof(f_25_1,plain,
! [A,B] :
( element(A,B)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_25_2,plain,
! [U_50,U_49] :
( element(U_50,U_49)
| ~ in(U_50,U_49) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( element(U_50,U_49)
| ~ in(U_50,U_49) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(fof_nnf,[status(thm)],[t2_subset]) ).
fof(f_26_2,plain,
! [U_52,U_51] :
( in(U_52,U_51)
| empty(U_51)
| ~ element(U_52,U_51) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( in(U_52,U_51)
| empty(U_51)
| ~ element(U_52,U_51) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [A,B] :
( ( element(A,powerset(B))
| ~ subset(A,B) )
& ( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(fof_nnf,[status(thm)],[t3_subset]) ).
fof(f_27_2,plain,
! [U_54,U_53] :
( ( element(U_54,powerset(U_53))
| ~ subset(U_54,U_53) )
& ( subset(U_54,U_53)
| ~ element(U_54,powerset(U_53)) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_58,U_56] :
( element(U_58,powerset(U_56))
| ~ subset(U_58,U_56) )
& ! [U_57,U_55] :
( subset(U_57,U_55)
| ~ element(U_57,powerset(U_55)) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
cnf(f_27_4,plain,
( subset(U_57,U_55)
| ~ element(U_57,powerset(U_55)) ),
inference(clausify,[status(thm)],[f_27_3]) ).
cnf(f_27_5,plain,
( element(U_58,powerset(U_56))
| ~ subset(U_58,U_56) ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [A,B,C] :
( element(A,C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[t4_subset]) ).
fof(f_28_2,plain,
! [U_61,U_60,U_59] :
( element(U_61,U_59)
| ~ element(U_60,powerset(U_59))
| ~ in(U_61,U_60) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( element(U_61,U_59)
| ~ element(U_60,powerset(U_59))
| ~ in(U_61,U_60) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [A,B,C] :
( ~ empty(C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[t5_subset]) ).
fof(f_29_2,plain,
! [U_64,U_63,U_62] :
( ~ empty(U_62)
| ~ element(U_63,powerset(U_62))
| ~ in(U_64,U_63) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_64,U_63] :
( ! [U_62] :
( ~ empty(U_62)
| ~ element(U_63,powerset(U_62)) )
| ~ in(U_64,U_63) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
cnf(f_29_4,plain,
( ~ empty(U_62)
| ~ element(U_63,powerset(U_62))
| ~ in(U_64,U_63) ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_1,plain,
! [A] :
( A = empty_set
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_30_2,plain,
! [U_65] :
( U_65 = empty_set
| ~ empty(U_65) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( U_65 = empty_set
| ~ empty(U_65) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_31_2,plain,
! [U_67,U_66] :
( ~ empty(U_66)
| ~ in(U_67,U_66) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( ~ empty(U_66)
| ~ in(U_67,U_66) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A,B] :
( ~ empty(B)
| A = B
| ~ empty(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_32_2,plain,
! [U_69,U_68] :
( ~ empty(U_68)
| U_69 = U_68
| ~ empty(U_69) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_69] :
( ! [U_68] :
( ~ empty(U_68)
| U_69 = U_68 )
| ~ empty(U_69) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( ~ empty(U_68)
| U_69 = U_68
| ~ empty(U_69) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( relation_rng(Eq_x_0) = relation_rng(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( relation_dom(Eq_x_0) = relation_dom(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( apply(Eq_x_0,Eq_x_1) = apply(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( powerset(Eq_x_0) = powerset(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK1(Eq_x_0,Eq_x_1) = sK1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sK2(Eq_x_0,Eq_x_1,Eq_x_2) = sK2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK4(Eq_x_0,Eq_x_1) = sK4(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( sK5(Eq_x_0,Eq_x_1) = sK5(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK12(Eq_x_0) = sK12(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( sK17(Eq_x_0) = sK17(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( in(Eq_y_0,Eq_y_1)
| ~ in(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( empty(Eq_y_0)
| ~ empty(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( function(Eq_y_0)
| ~ function(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( relation(Eq_y_0)
| ~ relation(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( subset(Eq_y_0,Eq_y_1)
| ~ subset(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( element(Eq_y_0,Eq_y_1)
| ~ element(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( relation_empty_yielding(Eq_y_0)
| ~ relation_empty_yielding(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET997+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 23:11:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 3.65/3.91 % SZS status Theorem for theBenchmark
% 3.65/3.91 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------