%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN126-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 03:33:52 PM UTC 2026
% Result : Unsatisfiable 4.74s 1.07s
% Output : Proof 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 26 unt; 0 def)
% Number of atoms : 74 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 55 ( 18 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f109,axiom,
( ~ s0(F)
| ~ s0(G)
| p1(F,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).
fof(f109_nnf,plain,
! [F,G] :
( ~ s0(F)
| ~ s0(G)
| p1(F,F,F) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
fof(f109_sk,plain,
! [F,G] :
( ~ s0(F)
| ~ s0(G)
| p1(F,F,F) ),
inference(skolemisation,[status(esa)],[f109_nnf]) ).
cnf(c109,plain,
( ~ s0(X0)
| ~ s0(X1)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f109_sk]) ).
cnf(hi108,axiom,
ifeq(s0(X0),true,ifeq(s0(X1),true,p1(X1,X1,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c109]) ).
cnf(f4,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f4_nnf,plain,
s0(b),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
s0(b),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(hi4,axiom,
s0(b) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h11,plain,
p1(b,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi108,hi4,hi4]) ).
cnf(f174,axiom,
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/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(h149,plain,
n2(b) = true,
inference(hyper_resolution,[status(thm)],[hi171,h11]) ).
cnf(f38,axiom,
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/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(f6,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f6_nnf,plain,
n0(d,b),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
n0(d,b),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
n0(d,b) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h14,plain,
k1(b) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi6]) ).
cnf(f286,axiom,
( ~ n2(H)
| ~ k1(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_249) ).
fof(f286_nnf,plain,
! [H] :
( ~ n2(H)
| ~ k1(H)
| p3(H,H,H) ),
inference(nnf_transformation,[status(thm)],[f286]) ).
fof(f286_sk,plain,
! [H] :
( ~ n2(H)
| ~ k1(H)
| p3(H,H,H) ),
inference(skolemisation,[status(esa)],[f286_nnf]) ).
cnf(c286,plain,
( ~ n2(X0)
| ~ k1(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f286_sk]) ).
cnf(hi281,axiom,
ifeq(k1(X0),true,ifeq(n2(X0),true,p3(X0,X0,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c286]) ).
cnf(h206,plain,
p3(b,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi281,h14,h149]) ).
cnf(f314,axiom,
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox/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(t23,plain,
l4(b) = true,
inference(hyper_resolution,[status(thm)],[hi308,h206]) ).
cnf(t181,plain,
l4(b) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(f368,negated_conjecture,
~ l4(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ l4(b),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ l4(b),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ l4(b),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
l4(b) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t181]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN126-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.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 00:15:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.74/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.74/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------