%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 03:35:25 PM UTC 2026
% Result : Unsatisfiable 7.93s 1.53s
% Output : Proof 7.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 38 unt; 0 def)
% Number of atoms : 74 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 33 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-8 aty)
% Number of variables : 199 ( 53 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f35,negated_conjecture,
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_36) ).
fof(f35_nnf,plain,
! [X42,X37,X38,X39,X40,X41,X36,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [X42,X37,X38,X39,X40,X41,X36,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( ~ p21(f11(X2,X3,X6,X0,X7,X4),X5)
| p8(X0,f16(X1,X2,X3,X4,X5,X6,X0,X7)) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(hi33,negated_conjecture,
ifeq(p21(f11(X0,X1,X2,X3,X4,X5),X6),true,p8(X3,f16(X7,X0,X1,X5,X6,X2,X3,X4)),true) = true,
inference(equality_encoding,[status(esa)],[c35]) ).
cnf(f26,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
fof(f26_nnf,plain,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi24,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h1,plain,
p8(c22,f16(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) = true,
inference(hyper_resolution,[status(thm)],[hi33,hi24]) ).
cnf(f17,negated_conjecture,
( ~ p8(X158,X160)
| ~ p8(X158,X159)
| p8(X159,X160) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
fof(f17_nnf,plain,
! [X159,X160,X158] :
( ~ p8(X158,X160)
| ~ p8(X158,X159)
| p8(X159,X160) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X159,X160,X158] :
( ~ p8(X158,X160)
| ~ p8(X158,X159)
| p8(X159,X160) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi16,negated_conjecture,
ifeq(p8(X0,X1),true,ifeq(p8(X0,X2),true,p8(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(f2,negated_conjecture,
p8(X158,X158),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f2_nnf,plain,
! [X158] : p8(X158,X158),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X158] : p8(X158,X158),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p8(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p8(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h3,plain,
p8(f16(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22) = true,
inference(hyper_resolution,[status(thm)],[hi16,h1,hi2]) ).
cnf(f47,negated_conjecture,
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
fof(f47_nnf,plain,
! [X41,X37,X38,X39,X40,X36,X42,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [X41,X37,X38,X39,X40,X36,X42,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(hi45,negated_conjecture,
ifeq(p21(f11(X0,X1,X2,X3,X4,X5),X6),true,p3(X6,f11(f19(X7,X0,X1,X5,X6,X2,X3,X4),f18(X7,X0,X1,X5,X6,X2,X3,X4),f17(X7,X0,X1,X5,X6,X2,X3,X4),f16(X7,X0,X1,X5,X6,X2,X3,X4),f15(X7,X0,X1,X5,X6,X2,X3,X4),f14(X7,X0,X1,X5,X6,X2,X3,X4))),true) = true,
inference(equality_encoding,[status(esa)],[c47]) ).
cnf(h10,plain,
p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))) = true,
inference(hyper_resolution,[status(thm)],[hi45,hi24]) ).
cnf(f30,negated_conjecture,
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p8(X8,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
fof(f30_nnf,plain,
! [X8,X13,X5,X6,X7,X9,X3,X10,X11,X12,X14,X4] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p8(X8,X13) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X8,X13,X5,X6,X7,X9,X3,X10,X11,X12,X14,X4] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p8(X8,X13) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p3(f11(X2,X3,X4,X0,X5,X6),f11(X7,X8,X9,X1,X10,X11))
| p8(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi28,negated_conjecture,
ifeq(p3(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)),true,p8(X3,X9),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h24,plain,
p8(c23,f16(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) = true,
inference(hyper_resolution,[status(thm)],[hi28,h10]) ).
cnf(h45,plain,
p8(f16(V0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23) = true,
inference(hyper_resolution,[status(thm)],[hi16,h24,hi2]) ).
cnf(t10,plain,
p8(c23,c22) = true,
inference(hyper_resolution,[status(thm)],[hi16,h45,h3]) ).
cnf(t506,plain,
p8(c23,c22) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t9,plain,
p8(c22,c23) = true,
inference(hyper_resolution,[status(thm)],[hi16,h3,h45]) ).
cnf(t562,plain,
p8(c22,c23) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t129,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(f9,negated_conjecture,
~ p8(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_10) ).
fof(f9_nnf,plain,
~ p8(c22,c23),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
~ p8(c22,c23),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
~ p8(c22,c23),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f24,negated_conjecture,
~ p3(f11(X196,X197,X198,X199,X200,X201),f4(X202)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_25) ).
fof(f24_nnf,plain,
! [X196,X197,X198,X199,X200,X201,X202] : ~ p3(f11(X196,X197,X198,X199,X200,X201),f4(X202)),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X196,X197,X198,X199,X200,X201,X202] : ~ p3(f11(X196,X197,X198,X199,X200,X201),f4(X202)),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ p3(f11(X0,X1,X2,X3,X4,X5),f4(X6)),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c9,c24]) ).
cnf(g0_0,plain,
true != ifeq(p8(c22,c23),true,false,true),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
true != ifeq(p8(c22,c23),true,false,p8(c23,c22)),
inference(rw,[status(thm)],[g0_0,t506]) ).
cnf(g0_2,plain,
true != ifeq(p8(c22,c23),p8(c22,c23),false,p8(c23,c22)),
inference(rw,[status(thm)],[g0_1,t562]) ).
cnf(g0_3,plain,
true != false,
inference(rw,[status(thm)],[g0_2,t129]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n020.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 02:00:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.93/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.93/1.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------