%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 03:34:01 PM UTC 2026
% Result : Unsatisfiable 6.00s 6.31s
% Output : Proof 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 26 unt; 0 def)
% Number of atoms : 66 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 68 ( 22 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f361,axiom,
( ~ l4(I)
| q5(I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_324) ).
fof(f361_nnf,plain,
! [I] :
( ~ l4(I)
| q5(I,I) ),
inference(nnf_transformation,[status(thm)],[f361]) ).
fof(f361_sk,plain,
! [I] :
( ~ l4(I)
| q5(I,I) ),
inference(skolemisation,[status(esa)],[f361_nnf]) ).
cnf(c361,plain,
( ~ l4(X0)
| q5(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f361_sk]) ).
cnf(u80,axiom,
ifeq(l4(X0),true,q5(X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c361]) ).
cnf(f122,axiom,
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f122_nnf,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(nnf_transformation,[status(thm)],[f122]) ).
fof(f122_sk,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(skolemisation,[status(esa)],[f122_nnf]) ).
cnf(c122,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f122_sk]) ).
cnf(hi120,axiom,
ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c122]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox2/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(h30,plain,
p1(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi120,hi13]) ).
cnf(f174,axiom,
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f174_nnf,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(nnf_transformation,[status(thm)],[f174]) ).
fof(f174_sk,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(skolemisation,[status(esa)],[f174_nnf]) ).
cnf(c174,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(esa)],[f174_sk]) ).
cnf(hi171,axiom,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(equality_encoding,[status(esa)],[c174]) ).
cnf(h174,plain,
n2(V0) = true,
inference(hyper_resolution,[status(thm)],[hi171,h30]) ).
cnf(f281,axiom,
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
fof(f281_nnf,plain,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
inference(nnf_transformation,[status(thm)],[f281]) ).
fof(f281_sk,plain,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
inference(skolemisation,[status(esa)],[f281_nnf]) ).
cnf(c281,plain,
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f281_sk]) ).
cnf(hi276,axiom,
ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c281]) ).
cnf(h218,plain,
p3(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi276,h174]) ).
cnf(f314,axiom,
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f314_nnf,plain,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
inference(nnf_transformation,[status(thm)],[f314]) ).
fof(f314_sk,plain,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
inference(skolemisation,[status(esa)],[f314_nnf]) ).
cnf(c314,plain,
( ~ p3(X1,X2,X0)
| l4(X0) ),
inference(cnf_transformation,[status(esa)],[f314_sk]) ).
cnf(hi308,axiom,
ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
inference(equality_encoding,[status(esa)],[c314]) ).
cnf(d5,axiom,
l4(V0) = true,
inference(hyper_resolution,[status(thm)],[hi308,h218]) ).
cnf(t159,plain,
ifeq(true,true,q5(X1,X1),true) = true,
inference(definition_unfolding,[status(thm)],[u80,d5]) ).
cnf(t157,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t246,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t157]) ).
cnf(t266,plain,
q5(X1,X1) = true,
inference(step,[status(thm)],[t159,t246]) ).
cnf(t256,plain,
q5(X1,X1) = true,
inference(orient,[status(thm)],[t266]) ).
cnf(f368,negated_conjecture,
~ q5(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ q5(e,e),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ q5(e,e),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ q5(e,e),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
q5(e,e) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t256]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n026.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 00:28:31 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.00/6.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.00/6.31 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------