%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN616-1 : 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 : 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 03:41:13 PM UTC 2026
% Result : Unsatisfiable 2.96s 1.08s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 24 unt; 8 def)
% Number of atoms : 123 ( 8 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 80 ( 43 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p2(c25,c28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f12(X0,X1),f12(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| ~ p2(X1,X3)
| p2(f7(X0,X1),f7(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_29) ).
fof(f30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p14_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p14(X5,X4,X3)
| ~ p2(X5,X0)
| ~ p2(X4,X1)
| ~ p2(X3,X2)
| p14(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_31) ).
tcf(c_84,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_87,negated_conjecture,
p2(c25,c28),
inference(cnf_transformation,[],[f7]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f12(X0,X2),f12(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f7(X0,X2),f7(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_109,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_110,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
inference(cnf_transformation,[],[f30]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p14(X5,X4,X3)
| ~ p2(X2,X3)
| ~ p2(X1,X4)
| ~ p2(X0,X5)
| ~ p14(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_358,definition,
iPr_def_10 = f5(c20),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_359,definition,
iPr_def_11 = f3(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_360,definition,
iPr_def_12 = f8(c21,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_361,definition,
iPr_def_13 = f12(iPr_def_12,c28),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_362,definition,
iPr_def_14 = f7(c22,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_363,definition,
iPr_def_15 = f6(c21),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_364,definition,
iPr_def_16 = f12(iPr_def_12,c25),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_365,definition,
iPr_def_17 = f7(c22,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_369,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p14(X3,X4,X5)
| ~ p2(X2,X5)
| ~ p2(X1,X4)
| ~ p2(X0,X3)
| ~ p14(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_370,negated_conjecture,
~ p14(iPr_def_14,iPr_def_11,iPr_def_15),
inference(demodulation,[status(thm)],[c_110,c_363,c_358,c_359,c_360,c_361,c_362]) ).
tcf(c_371,negated_conjecture,
p14(iPr_def_17,iPr_def_11,iPr_def_15),
inference(demodulation,[status(thm)],[c_109,c_364,c_365]) ).
tcf(c_372,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f7(X0,X2),f7(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_373,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f12(X0,X2),f12(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_384,negated_conjecture,
p2(c25,c28),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_385,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i,X2: $i] :
( p14(X2,X0,X1)
| ~ p2(iPr_def_17,X2)
| ~ p2(iPr_def_15,X1)
| ~ p2(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_371,c_369]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( p2(iPr_def_17,f7(X0,X1))
| ~ p2(iPr_def_16,X1)
| ~ p2(c22,X0) ),
inference(superposition,[status(thm)],[c_365,c_372]) ).
tcf(c_893,plain,
( ~ p2(iPr_def_17,iPr_def_14)
| ~ p2(iPr_def_15,iPr_def_15)
| ~ p2(iPr_def_11,iPr_def_11) ),
inference(superposition,[status(thm)],[c_756,c_370]) ).
tcf(c_894,plain,
~ p2(iPr_def_17,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_893,c_385,c_385]) ).
tcf(c_9856,plain,
( p2(iPr_def_17,iPr_def_14)
| ~ p2(iPr_def_16,iPr_def_13)
| ~ p2(c22,c22) ),
inference(superposition,[status(thm)],[c_362,c_860]) ).
tcf(c_9872,plain,
~ p2(iPr_def_16,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_9856,c_894,c_385]) ).
tcf(c_16034,plain,
! [X0: $i,X1: $i] :
( p2(iPr_def_16,f12(X1,X0))
| ~ p2(iPr_def_12,X1)
| ~ p2(c25,X0) ),
inference(superposition,[status(thm)],[c_364,c_373]) ).
tcf(c_16193,plain,
( p2(iPr_def_16,iPr_def_13)
| ~ p2(iPr_def_12,iPr_def_12)
| ~ p2(c25,c28) ),
inference(superposition,[status(thm)],[c_361,c_16034]) ).
tcf(c_16196,plain,
p2(iPr_def_16,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_16193,c_385,c_384]) ).
tcf(c_16201,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16196,c_9872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Fri Sep 25 01:53:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.35 % Proving...
% 2.96/1.08 % SZS status Started for theBenchmark.p
% 2.96/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.08
% 2.96/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.96/1.08
% 2.96/1.08 % ------ iProver source info
% 2.96/1.08
% 2.96/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 2.96/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.96/1.08 % git: non_committed_changes: false
% 2.96/1.08
% 2.96/1.08 % ------ Parsing...% successful
% 2.96/1.08
% 2.96/1.08
% 2.96/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.96/1.08
% 2.96/1.08 % ------ Preprocessing... sf_s rm: 12 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.96/1.08
% 2.96/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.96/1.08
% 2.96/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.96/1.08 % ------ Proving...
% 2.96/1.08 % ------ Problem Properties
% 2.96/1.08
% 2.96/1.08 %
% 2.96/1.08 % clauses 30
% 2.96/1.08 % conjectures 20
% 2.96/1.08 % EPR 12
% 2.96/1.08 % Horn 30
% 2.96/1.08 % unary 18
% 2.96/1.08 % binary 4
% 2.96/1.08 % lits 53
% 2.96/1.08 % lits eq 10
% 2.96/1.08 % fd_pure 0
% 2.96/1.08 % fd_pseudo 0
% 2.96/1.08 % fd_cond 0
% 2.96/1.08 % fd_pseudo_cond 0
% 2.96/1.08 % AC symbols 0
% 2.96/1.08
% 2.96/1.08 % ------ Schedule dynamic 5 is on
% 2.96/1.08
% 2.96/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.96/1.08
% 2.96/1.08
% 2.96/1.08 % ------
% 2.96/1.08 % Current options:
% 2.96/1.08 % ------
% 2.96/1.08
% 2.96/1.08
% 2.96/1.08 %
% 2.96/1.08
% 2.96/1.08 % ------ Proving...
% 2.96/1.08 %
% 2.96/1.08
% 2.96/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.96/1.08
% 2.96/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.96/1.08
% 2.96/1.08
%------------------------------------------------------------------------------