%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 01:02:03 PM UTC 2026
% Result : Unsatisfiable 18.80s 7.98s
% Output : Proof 18.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 118 ( 90 unt; 0 def)
% Number of atoms : 170 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 122 ( 70 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 151 ( 14 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f17,negated_conjecture,
( ~ member(pair(yp,ZA),trancl(r))
| ~ member(pair(z,ZA),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
fof(f17_nnf,plain,
! [ZA] :
( ~ member(pair(yp,ZA),trancl(r))
| ~ member(pair(z,ZA),trancl(r)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [ZA] :
( ~ member(pair(yp,ZA),trancl(r))
| ~ member(pair(z,ZA),trancl(r)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(t15,plain,
ifeq(member(pair(z,X1),trancl(r)),true,ifeq(member(pair(yp,X1),trancl(r)),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t25,plain,
ifeq(member(pair(z,X1),trancl(r)),true,ifeq(member(pair(yp,X1),trancl(r)),true,false,true),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(f8,axiom,
( member(pair(A,C),R)
| ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
fof(f8_nnf,plain,
! [R,A,B,C] :
( member(pair(A,C),R)
| ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [R,A,B,C] :
( member(pair(A,C),R)
| ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( member(pair(X1,X3),X0)
| ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(t16,plain,
ifeq(trans(X1),true,ifeq(member(pair(X2,X3),X1),true,ifeq(member(pair(X3,X4),X1),true,member(pair(X2,X4),X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t31,plain,
ifeq(trans(X1),true,ifeq(member(pair(X2,X3),X1),true,ifeq(member(pair(X3,X4),X1),true,member(pair(X2,X4),X1),true),true),true) = true,
inference(orient,[status(thm)],[t16]) ).
cnf(f15,hypothesis,
( member(pair(YP,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
fof(f15_nnf,plain,
! [YP] :
( member(pair(YP,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [YP] :
( member(pair(YP,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( member(pair(X0,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(t12,plain,
ifeq(member(pair(y,X1),trancl(r)),true,member(pair(X1,sk1(X1)),trancl(r)),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t23,plain,
ifeq(member(pair(y,X1),trancl(r)),true,member(pair(X1,sk1(X1)),trancl(r)),true) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(f16,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
fof(f16_nnf,plain,
member(pair(y,yp),trancl(r)),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
member(pair(y,yp),trancl(r)),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(t6,plain,
member(pair(y,yp),trancl(r)) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t44,plain,
member(pair(y,yp),trancl(r)) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t47,plain,
true = ifeq(true,true,member(pair(yp,sk1(yp)),trancl(r)),true),
inference(cp,[status(thm)],[t23,t44]) ).
cnf(t2,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t19,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t7159,plain,
true = member(pair(yp,sk1(yp)),trancl(r)),
inference(step,[status(thm)],[t47,t19]) ).
cnf(t108,plain,
member(pair(yp,sk1(yp)),trancl(r)) = true,
inference(orient,[status(thm)],[t7159]) ).
cnf(t112,plain,
true = ifeq(trans(trancl(r)),true,ifeq(true,true,ifeq(member(pair(sk1(yp),X1),trancl(r)),true,member(pair(yp,X1),trancl(r)),true),true),true),
inference(cp,[status(thm)],[t31,t108]) ).
cnf(f7,axiom,
trans(trancl(R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).
fof(f7_nnf,plain,
! [R] : trans(trancl(R)),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [R] : trans(trancl(R)),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
trans(trancl(X0)),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t1,plain,
trans(trancl(X1)) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t66,plain,
trans(trancl(X1)) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t7605,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(member(pair(sk1(yp),X1),trancl(r)),true,member(pair(yp,X1),trancl(r)),true),true),true),
inference(step,[status(thm)],[t112,t66]) ).
cnf(t7606,plain,
true = ifeq(true,true,ifeq(member(pair(sk1(yp),X1),trancl(r)),true,member(pair(yp,X1),trancl(r)),true),true),
inference(step,[status(thm)],[t7605,t19]) ).
cnf(t7607,plain,
true = ifeq(member(pair(sk1(yp),X1),trancl(r)),true,member(pair(yp,X1),trancl(r)),true),
inference(step,[status(thm)],[t7606,t19]) ).
cnf(t3951,plain,
ifeq(member(pair(sk1(yp),X1),trancl(r)),true,member(pair(yp,X1),trancl(r)),true) = true,
inference(orient,[status(thm)],[t7607]) ).
cnf(f6,axiom,
( member(pair(A,B),trancl(R))
| ~ member(pair(A,B),R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
fof(f6_nnf,plain,
! [A,B,R] :
( member(pair(A,B),trancl(R))
| ~ member(pair(A,B),R) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B,R] :
( member(pair(A,B),trancl(R))
| ~ member(pair(A,B),R) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t11,plain,
ifeq(member(pair(X1,X2),X3),true,member(pair(X1,X2),trancl(X3)),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t22,plain,
ifeq(member(pair(X1,X2),X3),true,member(pair(X1,X2),trancl(X3)),true) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(f10,axiom,
( member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R)
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f10_nnf,plain,
! [R,X,Y,YP] :
( member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R)
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [R,X,Y,YP] :
( member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R)
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t17,plain,
ifeq(diamond(X1),true,ifeq(member(pair(X2,X3),trancl(X1)),true,ifeq(member(pair(X2,X4),X1),true,member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t27,plain,
ifeq(diamond(X1),true,ifeq(member(pair(X2,X3),trancl(X1)),true,ifeq(member(pair(X2,X4),X1),true,member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1),true),true),true) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(f13,hypothesis,
member(pair(ya,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
fof(f13_nnf,plain,
member(pair(ya,z),r),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
member(pair(ya,z),r),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(t4,plain,
member(pair(ya,z),r) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t56,plain,
member(pair(ya,z),r) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t62,plain,
true = ifeq(diamond(r),true,ifeq(member(pair(ya,X1),trancl(r)),true,ifeq(true,true,member(pair(X1,diamond_strip_lemmaD_sk1(ya,X1,z,r)),r),true),true),true),
inference(cp,[status(thm)],[t27,t56]) ).
cnf(f11,hypothesis,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
fof(f11_nnf,plain,
diamond(r),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
diamond(r),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t0,plain,
diamond(r) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t63,plain,
diamond(r) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t7956,plain,
true = ifeq(true,true,ifeq(member(pair(ya,X1),trancl(r)),true,ifeq(true,true,member(pair(X1,diamond_strip_lemmaD_sk1(ya,X1,z,r)),r),true),true),true),
inference(step,[status(thm)],[t62,t63]) ).
cnf(t7957,plain,
true = ifeq(member(pair(ya,X1),trancl(r)),true,ifeq(true,true,member(pair(X1,diamond_strip_lemmaD_sk1(ya,X1,z,r)),r),true),true),
inference(step,[status(thm)],[t7956,t19]) ).
cnf(t7958,plain,
true = ifeq(member(pair(ya,X1),trancl(r)),true,member(pair(X1,diamond_strip_lemmaD_sk1(ya,X1,z,r)),r),true),
inference(step,[status(thm)],[t7957,t19]) ).
cnf(t7043,plain,
ifeq(member(pair(ya,X1),trancl(r)),true,member(pair(X1,diamond_strip_lemmaD_sk1(ya,X1,z,r)),r),true) = true,
inference(orient,[status(thm)],[t7958]) ).
cnf(f14,hypothesis,
( member(pair(ya,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
fof(f14_nnf,plain,
! [YP] :
( member(pair(ya,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [YP] :
( member(pair(ya,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( member(pair(ya,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(t13,plain,
ifeq(member(pair(y,X1),trancl(r)),true,member(pair(ya,sk1(X1)),trancl(r)),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t24,plain,
ifeq(member(pair(y,X1),trancl(r)),true,member(pair(ya,sk1(X1)),trancl(r)),true) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t48,plain,
true = ifeq(true,true,member(pair(ya,sk1(yp)),trancl(r)),true),
inference(cp,[status(thm)],[t24,t44]) ).
cnf(t7160,plain,
true = member(pair(ya,sk1(yp)),trancl(r)),
inference(step,[status(thm)],[t48,t19]) ).
cnf(t119,plain,
member(pair(ya,sk1(yp)),trancl(r)) = true,
inference(orient,[status(thm)],[t7160]) ).
cnf(t7089,plain,
true = ifeq(true,true,member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),true),
inference(cp,[status(thm)],[t7043,t119]) ).
cnf(t7961,plain,
true = member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),
inference(step,[status(thm)],[t7089,t19]) ).
cnf(t7104,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r) = true,
inference(orient,[status(thm)],[t7961]) ).
cnf(t7105,plain,
true = ifeq(true,true,member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),true),
inference(cp,[status(thm)],[t22,t7104]) ).
cnf(t7964,plain,
true = member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(step,[status(thm)],[t7105,t19]) ).
cnf(t7129,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) = true,
inference(orient,[status(thm)],[t7964]) ).
cnf(t7131,plain,
true = ifeq(true,true,member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),true),
inference(cp,[status(thm)],[t3951,t7129]) ).
cnf(t7965,plain,
true = member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(step,[status(thm)],[t7131,t19]) ).
cnf(t7139,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) = true,
inference(orient,[status(thm)],[t7965]) ).
cnf(t7142,plain,
true = ifeq(member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),true,ifeq(true,true,false,true),true),
inference(cp,[status(thm)],[t25,t7139]) ).
cnf(f9,axiom,
( member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R))
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
fof(f9_nnf,plain,
! [R,X,Y,YP] :
( member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R))
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [R,X,Y,YP] :
( member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R))
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t18,plain,
ifeq(diamond(X1),true,ifeq(member(pair(X2,X3),trancl(X1)),true,ifeq(member(pair(X2,X4),X1),true,member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t26,plain,
ifeq(diamond(X1),true,ifeq(member(pair(X2,X3),trancl(X1)),true,ifeq(member(pair(X2,X4),X1),true,member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1)),true),true),true) = true,
inference(orient,[status(thm)],[t18]) ).
cnf(t61,plain,
true = ifeq(diamond(r),true,ifeq(member(pair(ya,X1),trancl(r)),true,ifeq(true,true,member(pair(z,diamond_strip_lemmaD_sk1(ya,X1,z,r)),trancl(r)),true),true),true),
inference(cp,[status(thm)],[t26,t56]) ).
cnf(t7903,plain,
true = ifeq(true,true,ifeq(member(pair(ya,X1),trancl(r)),true,ifeq(true,true,member(pair(z,diamond_strip_lemmaD_sk1(ya,X1,z,r)),trancl(r)),true),true),true),
inference(step,[status(thm)],[t61,t63]) ).
cnf(t7904,plain,
true = ifeq(member(pair(ya,X1),trancl(r)),true,ifeq(true,true,member(pair(z,diamond_strip_lemmaD_sk1(ya,X1,z,r)),trancl(r)),true),true),
inference(step,[status(thm)],[t7903,t19]) ).
cnf(t7905,plain,
true = ifeq(member(pair(ya,X1),trancl(r)),true,member(pair(z,diamond_strip_lemmaD_sk1(ya,X1,z,r)),trancl(r)),true),
inference(step,[status(thm)],[t7904,t19]) ).
cnf(t6279,plain,
ifeq(member(pair(ya,X1),trancl(r)),true,member(pair(z,diamond_strip_lemmaD_sk1(ya,X1,z,r)),trancl(r)),true) = true,
inference(orient,[status(thm)],[t7905]) ).
cnf(t6316,plain,
true = ifeq(true,true,member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),true),
inference(cp,[status(thm)],[t6279,t119]) ).
cnf(t7908,plain,
true = member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(step,[status(thm)],[t6316,t19]) ).
cnf(t6345,plain,
member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) = true,
inference(orient,[status(thm)],[t7908]) ).
cnf(t7966,plain,
true = ifeq(true,true,ifeq(true,true,false,true),true),
inference(step,[status(thm)],[t7142,t6345]) ).
cnf(t7967,plain,
true = ifeq(true,true,false,true),
inference(step,[status(thm)],[t7966,t19]) ).
cnf(t7968,plain,
true = false,
inference(step,[status(thm)],[t7967,t19]) ).
cnf(t7150,plain,
false = true,
inference(orient,[status(thm)],[t7968]) ).
cnf(f0,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
fof(f0_nnf,plain,
combK != combS,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
combK != combS,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
combK != combS,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f1,axiom,
combK != comb_app(P,Q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).
fof(f1_nnf,plain,
! [P,Q] : combK != comb_app(P,Q),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [P,Q] : combK != comb_app(P,Q),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
combK != comb_app(X0,X1),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f2,axiom,
combS != comb_app(P,Q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).
fof(f2_nnf,plain,
! [P,Q] : combS != comb_app(P,Q),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [P,Q] : combS != comb_app(P,Q),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
combS != comb_app(X0,X1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c1,c2,c17]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t7150]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.53 % Computer : n001.cluster.edu
% 0.09/5.53 % Model : x86_64 x86_64
% 0.09/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53 % Memory : 8046.5625MB
% 0.09/5.53 % OS : Linux 6.8.0-71-generic
% 0.09/5.53 % CPULimit : 300
% 0.09/5.53 % WCLimit : 300
% 0.09/5.53 % DateTime : Fri Sep 25 07:40:45 UTC 2026
% 0.09/5.53 % CPUTime :
% 0.09/5.53 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.80/7.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.80/7.98 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------