%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 03:41:23 PM UTC 2026
% Result : Unsatisfiable 1.70s 16.15s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 64 ( 38 unt; 6 def)
% Number of atoms : 163 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 54 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f19,negated_conjecture,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
fof(f20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).
fof(f21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).
fof(f22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p30(X3,X2)
| ~ p9(X3,X0)
| ~ p4(X2,X1)
| p30(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p8(X0,X2)
| ~ p4(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).
tcf(c_107,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_111,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_118,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_123,negated_conjecture,
p3(c36,f7(c33,c34)),
inference(cnf_transformation,[],[f17]) ).
tcf(c_125,negated_conjecture,
p4(f5(c32,c36),c37),
inference(cnf_transformation,[],[f19]) ).
tcf(c_126,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
inference(cnf_transformation,[],[f20]) ).
tcf(c_127,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
inference(cnf_transformation,[],[f21]) ).
tcf(c_128,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(cnf_transformation,[],[f22]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_145,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p30(X1,X3)
| ~ p30(X0,X2)
| ~ p4(X2,X3)
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_147,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(f10(X0,X2),f10(X1,X3))
| ~ p4(X2,X3)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(X2,X0),f5(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_157,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p8(f12(X0,X2),f12(X1,X3))
| ~ p3(X2,X3)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_464,definition,
iPr_def_13 = f12(c39,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_465,definition,
iPr_def_14 = f10(iPr_def_13,c35),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_466,definition,
iPr_def_15 = f12(c39,c36),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_467,definition,
iPr_def_16 = f10(iPr_def_15,c37),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_468,definition,
iPr_def_17 = f5(c32,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_469,definition,
iPr_def_18 = f5(c32,c36),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_477,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p8(f12(X0,X2),f12(X1,X3))
| ~ p3(X2,X3)
| ~ p11(X0,X1) ),
inference(demodulation,[status(thm)],[c_157]) ).
tcf(c_478,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(X2,X0),f5(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_156]) ).
tcf(c_487,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(f10(X0,X2),f10(X1,X3))
| ~ p4(X2,X3)
| ~ p8(X0,X1) ),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_489,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p30(X1,X3)
| ~ p30(X0,X2)
| ~ p4(X2,X3)
| ~ p9(X0,X1) ),
inference(demodulation,[status(thm)],[c_145]) ).
tcf(c_501,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_506,negated_conjecture,
~ p30(iPr_def_14,c41),
inference(demodulation,[status(thm)],[c_128,c_464,c_465]) ).
tcf(c_507,negated_conjecture,
p30(iPr_def_16,c41),
inference(demodulation,[status(thm)],[c_127,c_466,c_467]) ).
tcf(c_508,negated_conjecture,
p4(iPr_def_17,c35),
inference(demodulation,[status(thm)],[c_126,c_468]) ).
tcf(c_509,negated_conjecture,
p4(iPr_def_18,c37),
inference(demodulation,[status(thm)],[c_125,c_469]) ).
tcf(c_511,negated_conjecture,
p3(c36,iPr_def_10),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_516,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_523,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_527,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_1578,plain,
! [X0: $i] :
( p4(c37,X0)
| ~ p4(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_509,c_501]) ).
tcf(c_1670,plain,
! [X0: $i,X1: $i] :
( p8(iPr_def_15,f12(X0,X1))
| ~ p3(c36,X1)
| ~ p11(c39,X0) ),
inference(superposition,[status(thm)],[c_466,c_477]) ).
tcf(c_1701,plain,
! [X0: $i,X1: $i] :
( p4(iPr_def_18,f5(X1,X0))
| ~ p2(c32,X1)
| ~ p3(c36,X0) ),
inference(superposition,[status(thm)],[c_469,c_478]) ).
tcf(c_1874,plain,
! [X0: $i,X1: $i] :
( p9(iPr_def_16,f10(X0,X1))
| ~ p4(c37,X1)
| ~ p8(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_467,c_487]) ).
tcf(c_2316,plain,
( p8(iPr_def_15,iPr_def_13)
| ~ p3(c36,iPr_def_10)
| ~ p11(c39,c39) ),
inference(superposition,[status(thm)],[c_464,c_1670]) ).
tcf(c_2318,plain,
p8(iPr_def_15,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_2316,c_511,c_527]) ).
tcf(c_2445,plain,
( p4(iPr_def_18,iPr_def_17)
| ~ p2(c32,c32)
| ~ p3(c36,iPr_def_10) ),
inference(superposition,[status(thm)],[c_468,c_1701]) ).
tcf(c_2449,plain,
p4(iPr_def_18,iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_2445,c_516,c_511]) ).
tcf(c_2465,plain,
! [X0: $i] :
( p4(iPr_def_17,X0)
| ~ p4(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_2449,c_501]) ).
tcf(c_2502,plain,
p4(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_523,c_2465]) ).
tcf(c_2511,plain,
! [X0: $i] :
( p4(iPr_def_18,X0)
| ~ p4(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_2502,c_501]) ).
tcf(c_2550,plain,
p4(iPr_def_18,c35),
inference(superposition,[status(thm)],[c_508,c_2511]) ).
tcf(c_2556,plain,
p4(c37,c35),
inference(superposition,[status(thm)],[c_2550,c_1578]) ).
tcf(c_2900,plain,
( p9(iPr_def_16,iPr_def_14)
| ~ p4(c37,c35)
| ~ p8(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_465,c_1874]) ).
tcf(c_2904,plain,
p9(iPr_def_16,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_2900,c_2556,c_2318]) ).
tcf(c_3125,plain,
! [X0: $i,X1: $i] :
( p30(iPr_def_14,X1)
| ~ p30(iPr_def_16,X0)
| ~ p4(X0,X1) ),
inference(superposition,[status(thm)],[c_2904,c_489]) ).
tcf(c_3170,plain,
! [X0: $i] :
( p30(iPr_def_14,X0)
| ~ p30(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_523,c_3125]) ).
tcf(c_3398,plain,
p30(iPr_def_14,c41),
inference(superposition,[status(thm)],[c_507,c_3170]) ).
tcf(c_3399,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3398,c_506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.11/15.44 % CPULimit : 300
% 0.11/15.44 % WCLimit : 300
% 0.11/15.44 % DateTime : Fri Sep 25 02:05:36 UTC 2026
% 0.11/15.44 % CPUTime :
% 0.11/15.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/15.48 Running first-order theorem proving
% 0.11/15.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.49
% 0.11/15.49 % ======== iProver multi-core TPTP/SMT =========
% 0.11/15.49
% 0.11/15.49 % Detected problem language: tptp
% 0.35/15.50 % Proving...
% 1.70/16.15 % SZS status Started for theBenchmark.p
% 1.70/16.15 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/16.15
% 1.70/16.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.70/16.15
% 1.70/16.15 % ------ iProver source info
% 1.70/16.15
% 1.70/16.15 % git: date: 2026-07-19 20:42:38 +0200
% 1.70/16.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.70/16.15 % git: non_committed_changes: false
% 1.70/16.15
% 1.70/16.15 % ------ Parsing...% successful
% 1.70/16.15
% 1.70/16.15
% 1.70/16.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.70/16.15
% 1.70/16.15 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.70/16.15
% 1.70/16.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.70/16.15
% 1.70/16.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.70/16.15 % ------ Proving...
% 1.70/16.15 % ------ Problem Properties
% 1.70/16.15
% 1.70/16.15 %
% 1.70/16.15 % clauses 67
% 1.70/16.15 % conjectures 58
% 1.70/16.15 % EPR 40
% 1.70/16.15 % Horn 66
% 1.70/16.15 % unary 31
% 1.70/16.15 % binary 3
% 1.70/16.15 % lits 140
% 1.70/16.15 % lits eq 9
% 1.70/16.15 % fd_pure 0
% 1.70/16.15 % fd_pseudo 0
% 1.70/16.15 % fd_cond 0
% 1.70/16.15 % fd_pseudo_cond 0
% 1.70/16.15 % AC symbols 0
% 1.70/16.15
% 1.70/16.15 % ------ Schedule dynamic 5 is on
% 1.70/16.15
% 1.70/16.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.70/16.15
% 1.70/16.15
% 1.70/16.15 % ------
% 1.70/16.15 % Current options:
% 1.70/16.15 % ------
% 1.70/16.15
% 1.70/16.15
% 1.70/16.15 %
% 1.70/16.15
% 1.70/16.15 % ------ Proving...
% 1.70/16.15 %
% 1.70/16.15
% 1.70/16.15 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/16.15
% 1.70/16.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.70/16.15
%------------------------------------------------------------------------------