%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 03:41:24 PM UTC 2026
% Result : Unsatisfiable 1.00s 0.96s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 28 unt; 7 def)
% Number of atoms : 135 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 70 ( 37 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f34,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
fof(f40,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).
fof(f52,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_52) ).
fof(f53,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_58) ).
tcf(c_124,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_129,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_133,negated_conjecture,
p2(c44,c46),
inference(cnf_transformation,[],[f16]) ).
tcf(c_151,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_157,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_169,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_170,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_175,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f11(X2,X0),f11(X3,X1))
| ~ p3(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_631,definition,
iPr_def_11 = f4(c44),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_632,definition,
iPr_def_12 = f11(iPr_def_11,c43),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_640,definition,
iPr_def_20 = f4(c46),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_641,definition,
iPr_def_21 = f11(iPr_def_20,c43),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_642,definition,
iPr_def_22 = f23(c44,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_643,definition,
iPr_def_23 = f4(iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_644,definition,
iPr_def_24 = f11(iPr_def_23,c43),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f11(X2,X0),f11(X3,X1))
| ~ p3(X2,X3)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_175]) ).
tcf(c_656,negated_conjecture,
~ p2(iPr_def_21,iPr_def_24),
inference(demodulation,[status(thm)],[c_170,c_642,c_643,c_644,c_640,c_641]) ).
tcf(c_657,negated_conjecture,
p2(iPr_def_24,iPr_def_12),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_662,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_157]) ).
tcf(c_665,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_151]) ).
tcf(c_673,negated_conjecture,
p2(c44,c46),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_674,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_676,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_1172,plain,
! [X0: $i] :
( p3(iPr_def_11,f4(X0))
| ~ p2(c44,X0) ),
inference(superposition,[status(thm)],[c_631,c_665]) ).
tcf(c_1245,plain,
! [X0: $i] :
( p2(iPr_def_12,X0)
| ~ p2(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_657,c_662]) ).
tcf(c_1397,plain,
! [X0: $i,X1: $i] :
( p2(iPr_def_12,f11(X1,X0))
| ~ p3(iPr_def_11,X1)
| ~ p10(c43,X0) ),
inference(superposition,[status(thm)],[c_632,c_652]) ).
tcf(c_1549,plain,
! [X0: $i] :
( p2(iPr_def_21,iPr_def_24)
| ~ p2(X0,iPr_def_24)
| ~ p2(X0,iPr_def_21) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_1612,plain,
! [X0: $i,X1: $i] :
( p2(X1,iPr_def_21)
| ~ p2(X0,iPr_def_21)
| ~ p2(X0,X1) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_1690,plain,
p2(iPr_def_12,iPr_def_24),
inference(superposition,[status(thm)],[c_674,c_1245]) ).
tcf(c_1770,plain,
( p3(iPr_def_11,iPr_def_20)
| ~ p2(c44,c46) ),
inference(superposition,[status(thm)],[c_640,c_1172]) ).
tcf(c_1781,plain,
p3(iPr_def_11,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_1770,c_673]) ).
tcf(c_2043,plain,
! [X0: $i] :
( p2(X0,iPr_def_21)
| ~ p2(iPr_def_21,iPr_def_21)
| ~ p2(iPr_def_21,X0) ),
inference(instantiation,[status(thm)],[c_1612]) ).
tcf(c_2044,plain,
p2(iPr_def_21,iPr_def_21),
inference(instantiation,[status(thm)],[c_674]) ).
tcf(c_3312,plain,
! [X0: $i,X1: $i] :
( p2(X1,iPr_def_24)
| ~ p2(X0,iPr_def_24)
| ~ p2(X0,X1) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_8293,plain,
! [X0: $i] :
( p2(X0,iPr_def_24)
| ~ p2(iPr_def_12,iPr_def_24)
| ~ p2(iPr_def_12,X0) ),
inference(instantiation,[status(thm)],[c_3312]) ).
tcf(c_8489,plain,
( p2(iPr_def_12,iPr_def_21)
| ~ p3(iPr_def_11,iPr_def_20)
| ~ p10(c43,c43) ),
inference(superposition,[status(thm)],[c_641,c_1397]) ).
tcf(c_8511,plain,
p2(iPr_def_12,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_8489,c_1781,c_676]) ).
tcf(c_8708,plain,
! [X0: $i] :
( p2(iPr_def_21,X0)
| ~ p2(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_8511,c_662]) ).
tcf(c_8877,plain,
! [X0: $i] : ~ p2(iPr_def_12,X0),
inference(global_subsumption_just,[status(thm)],[c_8708,c_656,c_1549,c_1690,c_2043,c_2044,c_8293,c_8708]) ).
tcf(c_8880,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1690,c_8877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 02:06:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.32
% 0.04/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.32
% 0.04/0.32 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 1.00/0.96 % SZS status Started for theBenchmark.p
% 1.00/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 1.00/0.96
% 1.00/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.00/0.96
% 1.00/0.96 % ------ iProver source info
% 1.00/0.96
% 1.00/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 1.00/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.00/0.96 % git: non_committed_changes: false
% 1.00/0.96
% 1.00/0.96 % ------ Parsing...% successful
% 1.00/0.96
% 1.00/0.96
% 1.00/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.00/0.96
% 1.00/0.96 % ------ Preprocessing... sf_s rm: 41 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.00/0.96
% 1.00/0.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.00/0.96
% 1.00/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.00/0.96 % ------ Proving...
% 1.00/0.96 % ------ Problem Properties
% 1.00/0.96
% 1.00/0.96 %
% 1.00/0.96 % clauses 47
% 1.00/0.96 % conjectures 28
% 1.00/0.96 % EPR 15
% 1.00/0.96 % Horn 47
% 1.00/0.96 % unary 30
% 1.00/0.96 % binary 6
% 1.00/0.96 % lits 76
% 1.00/0.96 % lits eq 19
% 1.00/0.96 % fd_pure 0
% 1.00/0.96 % fd_pseudo 0
% 1.00/0.96 % fd_cond 0
% 1.00/0.96 % fd_pseudo_cond 0
% 1.00/0.96 % AC symbols 0
% 1.00/0.96
% 1.00/0.96 % ------ Schedule dynamic 5 is on
% 1.00/0.96
% 1.00/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.00/0.96
% 1.00/0.96
% 1.00/0.96 % ------
% 1.00/0.96 % Current options:
% 1.00/0.96 % ------
% 1.00/0.96
% 1.00/0.96
% 1.00/0.96 %
% 1.00/0.96
% 1.00/0.96 % ------ Proving...
% 1.00/0.96 %
% 1.00/0.96
% 1.00/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 1.00/0.96
% 1.00/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.00/0.96
% 1.00/0.96
%------------------------------------------------------------------------------