%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 5.83s 1.17s
% Output : Proof 5.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 53 unt; 0 def)
% Number of atoms : 113 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 62 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f30,negated_conjecture,
( ~ p27(X23)
| p18(f19(f17(X23)),f20(f19(X23))) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(h33,plain,
p18(f20(f19(c43)),f19(f17(c43))) = true,
inference(hyper_resolution,[status(thm)],[hi31,h2,hi8]) ).
cnf(f43,negated_conjecture,
( ~ p18(X68,X66)
| ~ p28(X68,X69)
| ~ p18(X69,X67)
| p28(X66,X67) ),
file('/export/starexec/sandbox2/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(c35)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_18) ).
fof(f17_nnf,plain,
p28(f20(f19(c43)),f19(c35)),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
p28(f20(f19(c43)),f19(c35)),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi12,negated_conjecture,
p28(f20(f19(c43)),f19(c35)) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h44,plain,
p28(f19(f17(c43)),f19(c35)) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi8,hi12,h33]) ).
cnf(f16,negated_conjecture,
( ~ p27(X23)
| p27(f17(X23)) ),
file('/export/starexec/sandbox2/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(f40,negated_conjecture,
( ~ p28(f19(X62),f19(X63))
| ~ p27(X63)
| ~ p27(X62)
| p26(X62,X63) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_41) ).
fof(f40_nnf,plain,
! [X62,X63] :
( ~ p28(f19(X62),f19(X63))
| ~ p27(X63)
| ~ p27(X62)
| p26(X62,X63) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X62,X63] :
( ~ p28(f19(X62),f19(X63))
| ~ p27(X63)
| ~ p27(X62)
| p26(X62,X63) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ p28(f19(X0),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| p26(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi35,negated_conjecture,
ifeq(p27(X0),true,ifeq(p27(X1),true,ifeq(p28(f19(X0),f19(X1)),true,p26(X0,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(f2,negated_conjecture,
p27(c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c35_is_p27_3) ).
fof(f2_nnf,plain,
p27(c35),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
p27(c35),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,negated_conjecture,
p27(c35) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h46,plain,
p26(f17(c43),c35) = true,
inference(hyper_resolution,[status(thm)],[hi35,h3,hi2,h44]) ).
cnf(f14,negated_conjecture,
~ p26(f17(c43),c35),
file('/export/starexec/sandbox2/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(hi60,negated_conjecture,
ifeq(p26(f17(c43),c35),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi60,h46]) ).
cnf(t849,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f3,negated_conjecture,
~ p23(c43),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(f15,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox2/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(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,t849]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n010.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 02:05:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.83/1.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.83/1.17 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------