%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 03:35:29 PM UTC 2026
% Result : Unsatisfiable 6.24s 6.46s
% Output : Proof 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 84 ( 60 unt; 0 def)
% Number of atoms : 128 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 110 ( 66 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 76 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f30,negated_conjecture,
( ~ p27(X23)
| p18(f19(f17(X23)),f20(f19(X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_31) ).
fof(f30_nnf,plain,
! [X23] :
( ~ p27(X23)
| p18(f19(f17(X23)),f20(f19(X23))) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X23] :
( ~ p27(X23)
| p18(f19(f17(X23)),f20(f19(X23))) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p27(X0)
| p18(f19(f17(X0)),f20(f19(X0))) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi25,negated_conjecture,
ifeq(p27(X0),true,p18(f19(f17(X0)),f20(f19(X0))),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(f1,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_p27_2) ).
fof(f1_nnf,plain,
p27(c43),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
p27(c43),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,negated_conjecture,
p27(c43) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h2,plain,
p18(f19(f17(c43)),f20(f19(c43))) = true,
inference(hyper_resolution,[status(thm)],[hi25,hi1]) ).
cnf(f36,negated_conjecture,
( ~ p18(X18,X20)
| ~ p18(X18,X19)
| p18(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_37) ).
fof(f36_nnf,plain,
! [X19,X20,X18] :
( ~ p18(X18,X20)
| ~ p18(X18,X19)
| p18(X19,X20) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X19,X20,X18] :
( ~ p18(X18,X20)
| ~ p18(X18,X19)
| p18(X19,X20) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(hi31,negated_conjecture,
ifeq(p18(X0,X1),true,ifeq(p18(X0,X2),true,p18(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c36]) ).
cnf(f9,negated_conjecture,
p18(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
fof(f9_nnf,plain,
! [X18] : p18(X18,X18),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X18] : p18(X18,X18),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
p18(X0,X0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi8,negated_conjecture,
p18(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h159,plain,
p18(f20(f19(c43)),f19(f17(c43))) = true,
inference(hyper_resolution,[status(thm)],[hi31,h2,hi8]) ).
cnf(f24,negated_conjecture,
( ~ p10(X21,X22)
| p18(f19(X21),f19(X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_25) ).
fof(f24_nnf,plain,
! [X21,X22] :
( ~ p10(X21,X22)
| p18(f19(X21),f19(X22)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X21,X22] :
( ~ p10(X21,X22)
| p18(f19(X21),f19(X22)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ p10(X0,X1)
| p18(f19(X0),f19(X1)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(hi19,negated_conjecture,
ifeq(p10(X0,X1),true,p18(f19(X0),f19(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(f4,negated_conjecture,
p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
fof(f4_nnf,plain,
! [X0] : p10(X0,X0),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X0] : p10(X0,X0),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi3,negated_conjecture,
p10(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h8,plain,
p18(f19(V0),f19(V0)) = true,
inference(hyper_resolution,[status(thm)],[hi19,hi3]) ).
cnf(f43,negated_conjecture,
( ~ p18(X68,X66)
| ~ p28(X68,X69)
| ~ p18(X69,X67)
| p28(X66,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_44) ).
fof(f43_nnf,plain,
! [X66,X67,X69,X68] :
( ~ p18(X68,X66)
| ~ p28(X68,X69)
| ~ p18(X69,X67)
| p28(X66,X67) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [X66,X67,X69,X68] :
( ~ p18(X68,X66)
| ~ p28(X68,X69)
| ~ p18(X69,X67)
| p28(X66,X67) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( ~ p18(X3,X0)
| ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(hi38,negated_conjecture,
ifeq(p18(X0,X1),true,ifeq(p28(X2,X0),true,ifeq(p18(X2,X3),true,p28(X3,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c43]) ).
cnf(f17,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_18) ).
fof(f17_nnf,plain,
p28(f20(f19(c43)),f19(c34)),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
p28(f20(f19(c43)),f19(c34)),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi12,negated_conjecture,
p28(f20(f19(c43)),f19(c34)) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h15493,plain,
p28(f19(f17(c43)),f19(c34)) = true,
inference(hyper_resolution,[status(thm)],[hi38,h8,hi12,h159]) ).
cnf(f16,negated_conjecture,
( ~ p27(X23)
| p27(f17(X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f16_nnf,plain,
! [X23] :
( ~ p27(X23)
| p27(f17(X23)) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X23] :
( ~ p27(X23)
| p27(f17(X23)) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p27(X0)
| p27(f17(X0)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi11,negated_conjecture,
ifeq(p27(X0),true,p27(f17(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h3,plain,
p27(f17(c43)) = true,
inference(hyper_resolution,[status(thm)],[hi11,hi1]) ).
cnf(f39,negated_conjecture,
( ~ p28(f19(X56),f19(X57))
| ~ p27(X57)
| ~ p27(X56)
| p25(X56,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_40) ).
fof(f39_nnf,plain,
! [X56,X57] :
( ~ p28(f19(X56),f19(X57))
| ~ p27(X57)
| ~ p27(X56)
| p25(X56,X57) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X56,X57] :
( ~ p28(f19(X56),f19(X57))
| ~ p27(X57)
| ~ p27(X56)
| p25(X56,X57) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( ~ p28(f19(X0),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| p25(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(hi34,negated_conjecture,
ifeq(p27(X0),true,ifeq(p27(X1),true,ifeq(p28(f19(X0),f19(X1)),true,p25(X0,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(f0,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34_is_p27_1) ).
fof(f0_nnf,plain,
p27(c34),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
p27(c34),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,negated_conjecture,
p27(c34) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h16255,plain,
p25(f17(c43),c34) = true,
inference(hyper_resolution,[status(thm)],[hi34,h3,hi0,h15493]) ).
cnf(f15,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_16) ).
fof(f15_nnf,plain,
~ p25(f17(c43),c34),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
~ p25(f17(c43),c34),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
~ p25(f17(c43),c34),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi61,negated_conjecture,
ifeq(p25(f17(c43),c34),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi61,h16255]) ).
cnf(t844,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f3,negated_conjecture,
~ p23(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_not_p23_4) ).
fof(f3_nnf,plain,
~ p23(c43),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
~ p23(c43),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ p23(c43),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f12,negated_conjecture,
~ p24(c43,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_13) ).
fof(f12_nnf,plain,
~ p24(c43,c46),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
~ p24(c43,c46),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
~ p24(c43,c46),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f13,negated_conjecture,
~ p24(c43,c45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_14) ).
fof(f13_nnf,plain,
~ p24(c43,c45),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
~ p24(c43,c45),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
~ p24(c43,c45),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f14,negated_conjecture,
~ p26(f17(c43),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p26_15) ).
fof(f14_nnf,plain,
~ p26(f17(c43),c35),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
~ p26(f17(c43),c35),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
~ p26(f17(c43),c35),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3,c12,c13,c14,c15]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t844]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n026.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 02:08:00 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.24/6.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.24/6.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------