%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 : Fri Sep 25 03:34:14 PM UTC 2026
% Result : Unsatisfiable 7.47s 1.49s
% Output : Proof 7.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 34 unt; 0 def)
% Number of atoms : 102 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 46 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 80 ( 12 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f137,axiom,
( ~ n0(D,C)
| q1(C,C,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_100) ).
fof(f137_nnf,plain,
! [C,D] :
( ~ n0(D,C)
| q1(C,C,C) ),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
! [C,D] :
( ~ n0(D,C)
| q1(C,C,C) ),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
( ~ n0(X1,X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(hi135,axiom,
ifeq(n0(X0,X1),true,q1(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c137]) ).
cnf(f2,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f2_nnf,plain,
n0(d,e),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
n0(d,e),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,axiom,
n0(d,e) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h3,plain,
q1(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi135,hi2]) ).
cnf(f166,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).
fof(f166_nnf,plain,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
inference(nnf_transformation,[status(thm)],[f166]) ).
fof(f166_sk,plain,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
inference(skolemisation,[status(esa)],[f166_nnf]) ).
cnf(c166,plain,
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f166_sk]) ).
cnf(hi164,axiom,
ifeq(q1(X0,X1,X1),true,k2(X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c166]) ).
cnf(h132,plain,
k2(e,e) = true,
inference(hyper_resolution,[status(thm)],[hi164,h3]) ).
cnf(f38,axiom,
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f38_nnf,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi38,axiom,
ifeq(n0(X0,X1),true,k1(X1),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(h6,plain,
k1(e) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi2]) ).
cnf(f58,axiom,
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_021) ).
fof(f58_nnf,plain,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(hi58,axiom,
ifeq(l0(X0),true,ifeq(k0(X1),true,m1(X0,X1,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c58]) ).
cnf(f23,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f23_nnf,plain,
l0(c),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
l0(c),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(hi23,axiom,
l0(c) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(f27,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f27_nnf,plain,
k0(e),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
k0(e),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(hi27,axiom,
k0(e) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(h77,plain,
m1(c,e,c) = true,
inference(hyper_resolution,[status(thm)],[hi58,hi23,hi27]) ).
cnf(f164,axiom,
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).
fof(f164_nnf,plain,
! [C,D,E,F] :
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
inference(nnf_transformation,[status(thm)],[f164]) ).
fof(f164_sk,plain,
! [C,D,E,F] :
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
inference(skolemisation,[status(esa)],[f164_nnf]) ).
cnf(c164,plain,
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f164_sk]) ).
cnf(hi162,axiom,
ifeq(m1(X0,X1,X2),true,ifeq(k1(X3),true,ifeq(k2(X3,X1),true,k2(X2,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c164]) ).
cnf(h285,plain,
k2(c,e) = true,
inference(hyper_resolution,[status(thm)],[hi162,h77,h6,h132]) ).
cnf(f231,axiom,
( ~ k2(G,F)
| k3(F,F,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_194) ).
fof(f231_nnf,plain,
! [F,G] :
( ~ k2(G,F)
| k3(F,F,G) ),
inference(nnf_transformation,[status(thm)],[f231]) ).
fof(f231_sk,plain,
! [F,G] :
( ~ k2(G,F)
| k3(F,F,G) ),
inference(skolemisation,[status(esa)],[f231_nnf]) ).
cnf(c231,plain,
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f231_sk]) ).
cnf(hi228,axiom,
ifeq(k2(X0,X1),true,k3(X1,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c231]) ).
cnf(h559,plain,
k3(e,e,c) = true,
inference(hyper_resolution,[status(thm)],[hi228,h285]) ).
cnf(f324,axiom,
( ~ k3(B,B,C)
| p4(B,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).
fof(f324_nnf,plain,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
inference(nnf_transformation,[status(thm)],[f324]) ).
fof(f324_sk,plain,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
inference(skolemisation,[status(esa)],[f324_nnf]) ).
cnf(c324,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f324_sk]) ).
cnf(hi317,axiom,
ifeq(k3(X0,X0,X1),true,p4(X0,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c324]) ).
cnf(t71,plain,
p4(e,c,e) = true,
inference(hyper_resolution,[status(thm)],[hi317,h559]) ).
cnf(t88,plain,
p4(e,c,e) = true,
inference(orient,[status(thm)],[t71]) ).
cnf(f368,negated_conjecture,
~ p4(e,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ p4(e,c,e),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ p4(e,c,e),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ p4(e,c,e),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
p4(e,c,e) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t88]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % 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 : Fri Sep 25 00:41:42 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.47/1.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.47/1.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------