%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:34:02 PM UTC 2026
% Result : Unsatisfiable 6.53s 1.37s
% Output : Proof 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 85 ( 49 unt; 0 def)
% Number of atoms : 153 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 142 ( 74 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 148 ( 44 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f40,axiom,
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).
fof(f40_nnf,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi40,axiom,
ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f13_nnf,plain,
! [X] : p0(b,X),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] : p0(b,X),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p0(b,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
p0(b,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(f12,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f12_nnf,plain,
r0(e),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
r0(e),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
r0(e) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(f18,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f18_nnf,plain,
! [X,Y] : m0(X,d,Y),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] : m0(X,d,Y),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
m0(X0,d,X1),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,axiom,
m0(X0,d,X1) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h127,plain,
l1(d,V0) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi13,hi12,hi18]) ).
cnf(f212,axiom,
( ~ l1(G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_175) ).
fof(f212_nnf,plain,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
inference(nnf_transformation,[status(thm)],[f212]) ).
fof(f212_sk,plain,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
inference(skolemisation,[status(esa)],[f212_nnf]) ).
cnf(c212,plain,
( ~ l1(X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f212_sk]) ).
cnf(hi209,axiom,
ifeq(l1(X0,X1),true,p2(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c212]) ).
cnf(h140,plain,
p2(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi209,h127]) ).
cnf(f277,axiom,
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f277_nnf,plain,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
inference(nnf_transformation,[status(thm)],[f277]) ).
fof(f277_sk,plain,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
inference(skolemisation,[status(esa)],[f277_nnf]) ).
cnf(c277,plain,
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(esa)],[f277_sk]) ).
cnf(hi272,axiom,
ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(equality_encoding,[status(esa)],[c277]) ).
cnf(h315,plain,
n3(V0) = true,
inference(hyper_resolution,[status(thm)],[hi272,h140]) ).
cnf(f162,axiom,
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f162_nnf,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(hi160,axiom,
ifeq(p0(X0,X0),true,s1(X0),true) = true,
inference(equality_encoding,[status(esa)],[c162]) ).
cnf(h34,plain,
s1(b) = true,
inference(hyper_resolution,[status(thm)],[hi160,hi13]) ).
cnf(f163,axiom,
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f163_nnf,plain,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
inference(nnf_transformation,[status(thm)],[f163]) ).
fof(f163_sk,plain,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
inference(skolemisation,[status(esa)],[f163_nnf]) ).
cnf(c163,plain,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f163_sk]) ).
cnf(hi161,axiom,
ifeq(q0(X0,X1),true,ifeq(s1(X2),true,s1(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c163]) ).
cnf(f16,axiom,
q0(X,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f16_nnf,plain,
! [X] : q0(X,d),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X] : q0(X,d),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
q0(X0,d),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi16,axiom,
q0(X0,d) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h51,plain,
s1(V0) = true,
inference(hyper_resolution,[status(thm)],[hi161,hi16,h34]) ).
cnf(f170,axiom,
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
fof(f170_nnf,plain,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
inference(nnf_transformation,[status(thm)],[f170]) ).
fof(f170_sk,plain,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
inference(skolemisation,[status(esa)],[f170_nnf]) ).
cnf(c170,plain,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f170_sk]) ).
cnf(hi167,axiom,
ifeq(p0(X0,X0),true,ifeq(s1(X1),true,ifeq(m0(X2,X1,X3),true,l2(X3,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c170]) ).
cnf(h115,plain,
l2(V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi167,hi13,h51,hi18]) ).
cnf(f283,axiom,
( ~ l2(D,D)
| p3(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_246) ).
fof(f283_nnf,plain,
! [D] :
( ~ l2(D,D)
| p3(D,D,D) ),
inference(nnf_transformation,[status(thm)],[f283]) ).
fof(f283_sk,plain,
! [D] :
( ~ l2(D,D)
| p3(D,D,D) ),
inference(skolemisation,[status(esa)],[f283_nnf]) ).
cnf(c283,plain,
( ~ l2(X0,X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f283_sk]) ).
cnf(hi278,axiom,
ifeq(l2(X0,X0),true,p3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c283]) ).
cnf(h130,plain,
p3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi278,h115]) ).
cnf(f336,axiom,
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f336_nnf,plain,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
inference(nnf_transformation,[status(thm)],[f336]) ).
fof(f336_sk,plain,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
inference(skolemisation,[status(esa)],[f336_nnf]) ).
cnf(c336,plain,
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
inference(cnf_transformation,[status(esa)],[f336_sk]) ).
cnf(hi329,axiom,
ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c336]) ).
cnf(h254,plain,
s4(d) = true,
inference(hyper_resolution,[status(thm)],[hi329,h130,h127]) ).
cnf(f364,axiom,
( ~ n3(D)
| ~ k0(b)
| ~ s4(C)
| r5(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_327) ).
fof(f364_nnf,plain,
! [C,D] :
( ~ n3(D)
| ~ k0(b)
| ~ s4(C)
| r5(C,D) ),
inference(nnf_transformation,[status(thm)],[f364]) ).
fof(f364_sk,plain,
! [C,D] :
( ~ n3(D)
| ~ k0(b)
| ~ s4(C)
| r5(C,D) ),
inference(skolemisation,[status(esa)],[f364_nnf]) ).
cnf(c364,plain,
( ~ n3(X1)
| ~ k0(b)
| ~ s4(X0)
| r5(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f364_sk]) ).
cnf(hi357,axiom,
ifeq(s4(X0),true,ifeq(k0(b),true,ifeq(n3(X1),true,r5(X0,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c364]) ).
cnf(f31,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f31_nnf,plain,
k0(b),
inference(nnf_transformation,[status(thm)],[f31]) ).
cnf(c31,plain,
k0(b),
inference(cnf_transformation,[status(esa)],[f31_nnf]) ).
cnf(hi31,axiom,
k0(b) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(t8,plain,
r5(d,X1) = true,
inference(hyper_resolution,[status(thm)],[hi357,h254,hi31,h315]) ).
cnf(t21,plain,
r5(d,X1) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(f368,negated_conjecture,
~ r5(d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ r5(d,d),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ r5(d,d),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ r5(d,d),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
r5(d,d) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t21]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 00:27:43 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.53/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.53/1.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------