%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS082+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n011.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 08:47:14 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.60s
% Output : Proof 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 114 ( 44 unt; 0 def)
% Number of atoms : 436 ( 0 equ)
% Maximal formula atoms : 33 ( 3 avg)
% Number of connectives : 499 ( 177 ~; 174 |; 134 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-6 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 347 ( 84 sgn 203 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( ? [Z] :
( cowlThing(Z)
& rr(Y,Z) )
& ! [Z] :
( rp(Y,Z)
=> ! [W] :
( rr(Z,W)
=> cc(W) ) )
& ! [Z] :
( rp(Y,Z)
=> ? [W] :
( cowlThing(W)
& rp(Z,W) ) )
& ! [Z] :
( rp(Y,Z)
=> ? [W] :
( cowlThing(W)
& rr(Z,W) ) )
& ! [Z] :
( rr(Y,Z)
=> cc(Z) )
& ? [Z] :
( cowlThing(Z)
& rp(Y,Z) )
& rs(X,Y) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ! [Z] :
( rinvP(Y,Z)
=> ! [W] :
( rinvS(Z,W)
=> ~ ca(W) ) ) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_19_28752),
file('theBenchmark.p',axiom_9) ).
fof(f_3_1,plain,
! [X] :
( ? [Y] :
( ? [Z] :
( cowlThing(Z)
& rr(Y,Z) )
& ! [Z] :
( ! [W] :
( cc(W)
| ~ rr(Z,W) )
| ~ rp(Y,Z) )
& ! [Z] :
( ? [W] :
( cowlThing(W)
& rp(Z,W) )
| ~ rp(Y,Z) )
& ! [Z] :
( ? [W] :
( cowlThing(W)
& rr(Z,W) )
| ~ rp(Y,Z) )
& ! [Z] :
( cc(Z)
| ~ rr(Y,Z) )
& ? [Z] :
( cowlThing(Z)
& rp(Y,Z) )
& rs(X,Y) )
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_16] :
( ? [U_15] :
( ? [U_14] :
( cowlThing(U_14)
& rr(U_15,U_14) )
& ! [U_13] :
( ! [U_12] :
( cc(U_12)
| ~ rr(U_13,U_12) )
| ~ rp(U_15,U_13) )
& ! [U_11] :
( ? [U_10] :
( cowlThing(U_10)
& rp(U_11,U_10) )
| ~ rp(U_15,U_11) )
& ! [U_9] :
( ? [U_8] :
( cowlThing(U_8)
& rr(U_9,U_8) )
| ~ rp(U_15,U_9) )
& ! [U_7] :
( cc(U_7)
| ~ rr(U_15,U_7) )
& ? [U_6] :
( cowlThing(U_6)
& rp(U_15,U_6) )
& rs(U_16,U_15) )
| ~ cUnsatisfiable(U_16) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_16] :
( ( ? [U_14] :
( cowlThing(U_14)
& rr(sK1(U_16),U_14) )
& ! [U_13] :
( ! [U_12] :
( cc(U_12)
| ~ rr(U_13,U_12) )
| ~ rp(sK1(U_16),U_13) )
& ! [U_11] :
( ? [U_10] :
( cowlThing(U_10)
& rp(U_11,U_10) )
| ~ rp(sK1(U_16),U_11) )
& ! [U_9] :
( ? [U_8] :
( cowlThing(U_8)
& rr(U_9,U_8) )
| ~ rp(sK1(U_16),U_9) )
& ! [U_7] :
( cc(U_7)
| ~ rr(sK1(U_16),U_7) )
& ? [U_6] :
( cowlThing(U_6)
& rp(sK1(U_16),U_6) )
& rs(U_16,sK1(U_16)) )
| ~ cUnsatisfiable(U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_15,sK1(U_16))],[f_3_2]) ).
fof(f_3_4,plain,
! [U_16] :
( ( ? [U_14] :
( cowlThing(U_14)
& rr(sK1(U_16),U_14) )
& ! [U_13] :
( ! [U_12] :
( cc(U_12)
| ~ rr(U_13,U_12) )
| ~ rp(sK1(U_16),U_13) )
& ! [U_11] :
( ? [U_10] :
( cowlThing(U_10)
& rp(U_11,U_10) )
| ~ rp(sK1(U_16),U_11) )
& ! [U_9] :
( ? [U_8] :
( cowlThing(U_8)
& rr(U_9,U_8) )
| ~ rp(sK1(U_16),U_9) )
& ! [U_7] :
( cc(U_7)
| ~ rr(sK1(U_16),U_7) )
& cowlThing(sK2(U_16))
& rp(sK1(U_16),sK2(U_16))
& rs(U_16,sK1(U_16)) )
| ~ cUnsatisfiable(U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_6,sK2(U_16))],[f_3_3]) ).
fof(f_3_5,plain,
! [U_16] :
( ( ? [U_14] :
( cowlThing(U_14)
& rr(sK1(U_16),U_14) )
& ! [U_13] :
( ! [U_12] :
( cc(U_12)
| ~ rr(U_13,U_12) )
| ~ rp(sK1(U_16),U_13) )
& ! [U_11] :
( ? [U_10] :
( cowlThing(U_10)
& rp(U_11,U_10) )
| ~ rp(sK1(U_16),U_11) )
& ! [U_9] :
( ( cowlThing(sK3(U_16,U_9))
& rr(U_9,sK3(U_16,U_9)) )
| ~ rp(sK1(U_16),U_9) )
& ! [U_7] :
( cc(U_7)
| ~ rr(sK1(U_16),U_7) )
& cowlThing(sK2(U_16))
& rp(sK1(U_16),sK2(U_16))
& rs(U_16,sK1(U_16)) )
| ~ cUnsatisfiable(U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_8,sK3(U_16,U_9))],[f_3_4]) ).
fof(f_3_6,plain,
! [U_16] :
( ( ? [U_14] :
( cowlThing(U_14)
& rr(sK1(U_16),U_14) )
& ! [U_13] :
( ! [U_12] :
( cc(U_12)
| ~ rr(U_13,U_12) )
| ~ rp(sK1(U_16),U_13) )
& ! [U_11] :
( ( cowlThing(sK4(U_16,U_11))
& rp(U_11,sK4(U_16,U_11)) )
| ~ rp(sK1(U_16),U_11) )
& ! [U_9] :
( ( cowlThing(sK3(U_16,U_9))
& rr(U_9,sK3(U_16,U_9)) )
| ~ rp(sK1(U_16),U_9) )
& ! [U_7] :
( cc(U_7)
| ~ rr(sK1(U_16),U_7) )
& cowlThing(sK2(U_16))
& rp(sK1(U_16),sK2(U_16))
& rs(U_16,sK1(U_16)) )
| ~ cUnsatisfiable(U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_10,sK4(U_16,U_11))],[f_3_5]) ).
fof(f_3_7,plain,
! [U_16] :
( ( cowlThing(sK5(U_16))
& rr(sK1(U_16),sK5(U_16))
& ! [U_13] :
( ! [U_12] :
( cc(U_12)
| ~ rr(U_13,U_12) )
| ~ rp(sK1(U_16),U_13) )
& ! [U_11] :
( ( cowlThing(sK4(U_16,U_11))
& rp(U_11,sK4(U_16,U_11)) )
| ~ rp(sK1(U_16),U_11) )
& ! [U_9] :
( ( cowlThing(sK3(U_16,U_9))
& rr(U_9,sK3(U_16,U_9)) )
| ~ rp(sK1(U_16),U_9) )
& ! [U_7] :
( cc(U_7)
| ~ rr(sK1(U_16),U_7) )
& cowlThing(sK2(U_16))
& rp(sK1(U_16),sK2(U_16))
& rs(U_16,sK1(U_16)) )
| ~ cUnsatisfiable(U_16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_14,sK5(U_16))],[f_3_6]) ).
fof(f_3_8,plain,
( ! [U_11,U_16] :
( cowlThing(sK4(U_16,U_11))
| ~ sP1(U_11,U_16) )
& ! [U_11,U_16] :
( rp(U_11,sK4(U_16,U_11))
| ~ sP1(U_11,U_16) )
& ! [U_9,U_16] :
( cowlThing(sK3(U_16,U_9))
| ~ sP0(U_9,U_16) )
& ! [U_9,U_16] :
( rr(U_9,sK3(U_16,U_9))
| ~ sP0(U_9,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( cowlThing(sK5(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( rr(sK1(U_16),sK5(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( cc(U_12)
| ~ rr(U_13,U_12)
| ~ rp(sK1(U_16),U_13)
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( sP1(U_11,U_16)
| ~ rp(sK1(U_16),U_11)
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( sP0(U_9,U_16)
| ~ rp(sK1(U_16),U_9)
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( cc(U_7)
| ~ rr(sK1(U_16),U_7)
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( cowlThing(sK2(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( rp(sK1(U_16),sK2(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( rs(U_16,sK1(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) )
& ! [U_7,U_9,U_11,U_12,U_13,U_16] :
( sP2(U_7,U_9,U_11,U_12,U_13,U_16)
| ~ cUnsatisfiable(U_16) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_3_7]) ).
cnf(f_3_9,plain,
( sP2(U_7,U_9,U_11,U_12,U_13,U_16)
| ~ cUnsatisfiable(U_16) ),
inference(clausify,[status(thm)],[f_3_8]) ).
cnf(f_3_10,plain,
( rs(U_16,sK1(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) ),
inference(clausify,[status(thm)],[f_3_8]) ).
cnf(f_3_11,plain,
( rp(sK1(U_16),sK2(U_16))
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) ),
inference(clausify,[status(thm)],[f_3_8]) ).
cnf(f_3_14,plain,
( sP0(U_9,U_16)
| ~ rp(sK1(U_16),U_9)
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) ),
inference(clausify,[status(thm)],[f_3_8]) ).
cnf(f_3_16,plain,
( cc(U_12)
| ~ rr(U_13,U_12)
| ~ rp(sK1(U_16),U_13)
| ~ sP2(U_7,U_9,U_11,U_12,U_13,U_16) ),
inference(clausify,[status(thm)],[f_3_8]) ).
cnf(f_3_19,plain,
( rr(U_9,sK3(U_16,U_9))
| ~ sP0(U_9,U_16) ),
inference(clausify,[status(thm)],[f_3_8]) ).
fof(f_4_1,plain,
! [X] :
( ca(X)
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_17] :
( ca(U_17)
| ~ cUnsatisfiable(U_17) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_17] :
( ca(U_17)
| ~ cUnsatisfiable(U_17) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( ca(U_17)
| ~ cUnsatisfiable(U_17) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ( cc(X)
| ? [Y] :
( ? [Z] :
( ? [W] :
( ca(W)
& rinvS(Z,W) )
& rinvP(Y,Z) )
& rinvR(X,Y) ) )
& ( ! [Y] :
( ! [Z] :
( ! [W] :
( ~ ca(W)
| ~ rinvS(Z,W) )
| ~ rinvP(Y,Z) )
| ~ rinvR(X,Y) )
| ~ cc(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_24] :
( ( cc(U_24)
| ? [U_23] :
( ? [U_22] :
( ? [U_21] :
( ca(U_21)
& rinvS(U_22,U_21) )
& rinvP(U_23,U_22) )
& rinvR(U_24,U_23) ) )
& ( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ~ ca(U_18)
| ~ rinvS(U_19,U_18) )
| ~ rinvP(U_20,U_19) )
| ~ rinvR(U_24,U_20) )
| ~ cc(U_24) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_26] :
( cc(U_26)
| ? [U_23] :
( ? [U_22] :
( ? [U_21] :
( ca(U_21)
& rinvS(U_22,U_21) )
& rinvP(U_23,U_22) )
& rinvR(U_26,U_23) ) )
& ! [U_25] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ~ ca(U_18)
| ~ rinvS(U_19,U_18) )
| ~ rinvP(U_20,U_19) )
| ~ rinvR(U_25,U_20) )
| ~ cc(U_25) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_26] :
( cc(U_26)
| ( ? [U_22] :
( ? [U_21] :
( ca(U_21)
& rinvS(U_22,U_21) )
& rinvP(sK6(U_26),U_22) )
& rinvR(U_26,sK6(U_26)) ) )
& ! [U_25] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ~ ca(U_18)
| ~ rinvS(U_19,U_18) )
| ~ rinvP(U_20,U_19) )
| ~ rinvR(U_25,U_20) )
| ~ cc(U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_23,sK6(U_26))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_26] :
( cc(U_26)
| ( ? [U_21] :
( ca(U_21)
& rinvS(sK7(U_26),U_21) )
& rinvP(sK6(U_26),sK7(U_26))
& rinvR(U_26,sK6(U_26)) ) )
& ! [U_25] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ~ ca(U_18)
| ~ rinvS(U_19,U_18) )
| ~ rinvP(U_20,U_19) )
| ~ rinvR(U_25,U_20) )
| ~ cc(U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_22,sK7(U_26))],[f_5_4]) ).
fof(f_5_6,plain,
( ! [U_26] :
( cc(U_26)
| ( ca(sK8(U_26))
& rinvS(sK7(U_26),sK8(U_26))
& rinvP(sK6(U_26),sK7(U_26))
& rinvR(U_26,sK6(U_26)) ) )
& ! [U_25] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ~ ca(U_18)
| ~ rinvS(U_19,U_18) )
| ~ rinvP(U_20,U_19) )
| ~ rinvR(U_25,U_20) )
| ~ cc(U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_21,sK8(U_26))],[f_5_5]) ).
fof(f_5_7,plain,
( ! [U_26] :
( ca(sK8(U_26))
| ~ sP3(U_26) )
& ! [U_26] :
( rinvS(sK7(U_26),sK8(U_26))
| ~ sP3(U_26) )
& ! [U_26] :
( rinvP(sK6(U_26),sK7(U_26))
| ~ sP3(U_26) )
& ! [U_26] :
( rinvR(U_26,sK6(U_26))
| ~ sP3(U_26) )
& ! [U_26] :
( cc(U_26)
| sP3(U_26) )
& ! [U_18,U_20,U_25,U_19] :
( ~ ca(U_18)
| ~ rinvS(U_19,U_18)
| ~ rinvP(U_20,U_19)
| ~ rinvR(U_25,U_20)
| ~ cc(U_25) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_5_6]) ).
cnf(f_5_8,plain,
( ~ ca(U_18)
| ~ rinvS(U_19,U_18)
| ~ rinvP(U_20,U_19)
| ~ rinvR(U_25,U_20)
| ~ cc(U_25) ),
inference(clausify,[status(thm)],[f_5_7]) ).
fof(f_6_1,plain,
! [X,Y] :
( ( rinvP(X,Y)
| ~ rp(Y,X) )
& ( rp(Y,X)
| ~ rinvP(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_28,U_27] :
( ( rinvP(U_28,U_27)
| ~ rp(U_27,U_28) )
& ( rp(U_27,U_28)
| ~ rinvP(U_28,U_27) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_32,U_30] :
( rinvP(U_32,U_30)
| ~ rp(U_30,U_32) )
& ! [U_31,U_29] :
( rp(U_29,U_31)
| ~ rinvP(U_31,U_29) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_32,U_30] :
( rinvP(U_32,U_30)
| ~ rp(U_30,U_32) )
& ! [U_29,U_31] :
( rp(U_29,U_31)
| ~ rinvP(U_31,U_29) ) ),
inference(definitional_conversion,[status(esa)],[f_6_3]) ).
cnf(f_6_5,plain,
( rp(U_29,U_31)
| ~ rinvP(U_31,U_29) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
( rinvP(U_32,U_30)
| ~ rp(U_30,U_32) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X,Y] :
( ( rinvR(X,Y)
| ~ rr(Y,X) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_34,U_33] :
( ( rinvR(U_34,U_33)
| ~ rr(U_33,U_34) )
& ( rr(U_33,U_34)
| ~ rinvR(U_34,U_33) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_38,U_36] :
( rinvR(U_38,U_36)
| ~ rr(U_36,U_38) )
& ! [U_37,U_35] :
( rr(U_35,U_37)
| ~ rinvR(U_37,U_35) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_36,U_38] :
( rinvR(U_38,U_36)
| ~ rr(U_36,U_38) )
& ! [U_37,U_35] :
( rr(U_35,U_37)
| ~ rinvR(U_37,U_35) ) ),
inference(definitional_conversion,[status(esa)],[f_7_3]) ).
cnf(f_7_6,plain,
( rinvR(U_38,U_36)
| ~ rr(U_36,U_38) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
! [X,Y] :
( ( rinvS(X,Y)
| ~ rs(Y,X) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_40,U_39] :
( ( rinvS(U_40,U_39)
| ~ rs(U_39,U_40) )
& ( rs(U_39,U_40)
| ~ rinvS(U_40,U_39) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_44,U_42] :
( rinvS(U_44,U_42)
| ~ rs(U_42,U_44) )
& ! [U_43,U_41] :
( rs(U_41,U_43)
| ~ rinvS(U_43,U_41) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_44,U_42] :
( rinvS(U_44,U_42)
| ~ rs(U_42,U_44) )
& ! [U_41,U_43] :
( rs(U_41,U_43)
| ~ rinvS(U_43,U_41) ) ),
inference(definitional_conversion,[status(esa)],[f_8_3]) ).
cnf(f_8_6,plain,
( rinvS(U_44,U_42)
| ~ rs(U_42,U_44) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_10_1,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(definitional_conversion,[status(esa)],[f_10_1]) ).
cnf(f_10_3,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(t1,plain,
( ~ rinvR(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)),sK2(i2003_11_14_17_19_28752))
| ~ rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752))
| ~ rinvS(sK1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)
| ~ ca(i2003_11_14_17_19_28752)
| ~ cc(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(start,[status(thm),parent(0:0)],[f_5_8]) ).
cnf(t2,plain,
( ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| ~ rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)))
| ~ sP2(U_571,U_572,U_573,sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)),sK2(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)
| cc(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(extension,[status(thm),parent(t1:1)],[f_3_16]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_571,U_572,U_573,sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)),sK2(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t2:2)],[f_3_9]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t4:2)],[f_10_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ sP0(sK2(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)
| rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(extension,[status(thm),parent(t2:3)],[f_3_19]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
( ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| ~ sP2(U_585,sK2(i2003_11_14_17_19_28752),U_587,U_588,U_589,i2003_11_14_17_19_28752)
| sP0(sK2(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t8:2)],[f_3_14]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_585,sK2(i2003_11_14_17_19_28752),U_587,U_588,U_589,i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t10:2)],[f_3_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t12:2)],[f_10_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ sP2(U_597,U_598,U_599,U_600,U_601,i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t10:3)],[f_3_11]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:3]) ).
cnf(t18,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_597,U_598,U_599,U_600,U_601,i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t16:2)],[f_3_9]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t18:2)],[f_10_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ sP2(U_609,U_610,U_611,U_612,U_613,i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t2:4)],[f_3_11]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:4]) ).
cnf(t24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_609,U_610,U_611,U_612,U_613,i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t22:2)],[f_3_9]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t24:2)],[f_10_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| ca(i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t1:2)],[f_4_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t1:2]) ).
cnf(t30,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t28:2)],[f_10_3]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ rs(i2003_11_14_17_19_28752,sK1(i2003_11_14_17_19_28752))
| rinvS(sK1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t1:3)],[f_8_6]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t1:3]) ).
cnf(t34,plain,
( ~ sP2(U_624,U_625,U_626,U_627,U_628,i2003_11_14_17_19_28752)
| rs(i2003_11_14_17_19_28752,sK1(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t32:2)],[f_3_10]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_624,U_625,U_626,U_627,U_628,i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t34:2)],[f_3_9]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t36:2)],[f_10_3]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t1:4)],[f_6_6]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t1:4]) ).
cnf(t42,plain,
( ~ sP2(U_638,U_639,U_640,U_641,U_642,i2003_11_14_17_19_28752)
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t40:2)],[f_3_11]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_638,U_639,U_640,U_641,U_642,i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t42:2)],[f_3_9]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t44:2)],[f_10_3]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(l20,lemma,
rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752)),
inference(lemma,[status(cth),parent(t1:4),below(0:0)],[t1:4]) ).
cnf(t48,plain,
( ~ rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)))
| rinvR(sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752)),sK2(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t1:5)],[f_7_6]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t1:5]) ).
cnf(t50,plain,
( ~ sP0(sK2(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)
| rr(sK2(i2003_11_14_17_19_28752),sK3(i2003_11_14_17_19_28752,sK2(i2003_11_14_17_19_28752))) ),
inference(extension,[status(thm),parent(t48:2)],[f_3_19]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752))
| ~ sP2(U_654,sK2(i2003_11_14_17_19_28752),U_656,U_657,U_658,i2003_11_14_17_19_28752)
| sP0(sK2(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t50:2)],[f_3_14]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_28752)
| sP2(U_654,sK2(i2003_11_14_17_19_28752),U_656,U_657,U_658,i2003_11_14_17_19_28752) ),
inference(extension,[status(thm),parent(t52:2)],[f_3_9]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
cUnsatisfiable(i2003_11_14_17_19_28752),
inference(extension,[status(thm),parent(t54:2)],[f_10_3]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
( ~ rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752))
| rp(sK1(i2003_11_14_17_19_28752),sK2(i2003_11_14_17_19_28752)) ),
inference(extension,[status(thm),parent(t52:3)],[f_6_5]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t52:3]) ).
cnf(t60,plain,
rinvP(sK2(i2003_11_14_17_19_28752),sK1(i2003_11_14_17_19_28752)),
inference(lemma_extension,[status(thm),parent(t58:2)],[l20:1]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS082+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.04 % 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 : n011.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 12:11:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.31/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.60 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------