%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN706-1 : 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 : n009.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 03:41:26 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.35s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 20 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 57 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 18 ( 17 usr; 9 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p47(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_5) ).
fof(f9,negated_conjecture,
! [X0] : p39(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_9) ).
fof(f13,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
fof(f27,negated_conjecture,
p45(f20(c52,c50),c58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_27) ).
fof(f29,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p48_29) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p37(X3,X0)
| ~ p48(X3,X2)
| ~ p47(X2,X1)
| p48(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_57) ).
fof(f59,negated_conjecture,
! [X0,X1] : p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_59) ).
fof(f67,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X1,X3)
| ~ p36(X0,X2)
| p37(f38(X0,X1),f38(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_67) ).
fof(f68,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p39(X0,X2)
| ~ p3(X1,X3)
| p36(f40(X0,X1),f40(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_68) ).
fof(f78,negated_conjecture,
! [X2,X0,X1] :
( ~ p45(f20(c52,X2),X0)
| p46(f23(c53,f35(X0,X1)),f5(c49,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_78) ).
fof(f81,negated_conjecture,
! [X0,X1] :
( ~ p46(f23(c53,X0),f5(c49,c50))
| ~ p45(f20(c52,c50),X1)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),X1)),c60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_81) ).
tcf(c_134,negated_conjecture,
! [X0: $i] : p47(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_138,negated_conjecture,
! [X0: $i] : p39(X0,X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_142,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f13]) ).
tcf(c_156,negated_conjecture,
p45(f20(c52,c50),c58),
inference(cnf_transformation,[],[f27]) ).
tcf(c_158,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
inference(cnf_transformation,[],[f29]) ).
tcf(c_186,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p48(X3,X1)
| ~ p48(X2,X0)
| ~ p37(X2,X3)
| ~ p47(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_188,negated_conjecture,
! [X0: $i,X1: $i] : p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1),
inference(cnf_transformation,[],[f59]) ).
tcf(c_196,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p37(f38(X2,X0),f38(X3,X1))
| ~ p36(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_197,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p36(f40(X0,X2),f40(X1,X3))
| ~ p3(X2,X3)
| ~ p39(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_207,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p46(f23(c53,f35(X1,X2)),f5(c49,X0))
| ~ p45(f20(c52,X0),X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_210,negated_conjecture,
! [X0: $i,X1: $i] :
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),X1)),c60)
| ~ p45(f20(c52,c50),X1)
| ~ p46(f23(c53,X0),f5(c49,c50)) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_224,plain,
p3(c50,c50),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_642,negated_conjecture,
! [X0_iProver_f14_2: iProver_f14_2,X0_iProver_f8_2: iProver_f8_2] :
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0_iProver_f14_2)),X0_iProver_f8_2)),c60)
| ~ p45(f20(c52,c50),X0_iProver_f8_2)
| ~ p46(f23(c53,X0_iProver_f14_2),f5(c49,c50)) ),
inference(subtyping,[status(esa)],[c_210]) ).
tcf(c_645,negated_conjecture,
! [X0_iProver_f5_2: iProver_f5_2,X0_iProver_f8_2: iProver_f8_2,X0_iProver_f35_2: iProver_f35_2] :
( p46(f23(c53,f35(X0_iProver_f8_2,X0_iProver_f35_2)),f5(c49,X0_iProver_f5_2))
| ~ p45(f20(c52,X0_iProver_f5_2),X0_iProver_f8_2) ),
inference(subtyping,[status(esa)],[c_207]) ).
tcf(c_655,negated_conjecture,
! [X0_iProver_f5_2: iProver_f5_2,X0_iProver_f40_1: iProver_f40_1,X1_iProver_f5_2: iProver_f5_2,X1_iProver_f40_1: iProver_f40_1] :
( p36(f40(X0_iProver_f40_1,X0_iProver_f5_2),f40(X1_iProver_f40_1,X1_iProver_f5_2))
| ~ p3(X0_iProver_f5_2,X1_iProver_f5_2)
| ~ p39(X0_iProver_f40_1,X1_iProver_f40_1) ),
inference(subtyping,[status(esa)],[c_197]) ).
tcf(c_656,negated_conjecture,
! [X0_iProver_f8_2: iProver_f8_2,X0_iProver_f38_1: iProver_f38_1,X1_iProver_f8_2: iProver_f8_2,X1_iProver_f38_1: iProver_f38_1] :
( p37(f38(X0_iProver_f38_1,X0_iProver_f8_2),f38(X1_iProver_f38_1,X1_iProver_f8_2))
| ~ p36(X0_iProver_f38_1,X1_iProver_f38_1)
| ~ p7(X0_iProver_f8_2,X1_iProver_f8_2) ),
inference(subtyping,[status(esa)],[c_196]) ).
tcf(c_664,negated_conjecture,
! [X0_iProver_f8_2: iProver_f8_2,X0_iProver_f35_2: iProver_f35_2] : p7(f8(f11(c54,f14(f17(c55,X0_iProver_f35_2),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X0_iProver_f8_2),X0_iProver_f8_2),
inference(subtyping,[status(esa)],[c_188]) ).
tcf(c_666,negated_conjecture,
! [X0_iProver_p48_1: iProver_p48_1,X0_iProver_p48_2: iProver_p48_2,X1_iProver_p48_1: iProver_p48_1,X1_iProver_p48_2: iProver_p48_2] :
( p48(X1_iProver_p48_1,X1_iProver_p48_2)
| ~ p48(X0_iProver_p48_1,X0_iProver_p48_2)
| ~ p37(X0_iProver_p48_1,X1_iProver_p48_1)
| ~ p47(X0_iProver_p48_2,X1_iProver_p48_2) ),
inference(subtyping,[status(esa)],[c_186]) ).
tcf(c_714,negated_conjecture,
! [X0_iProver_f40_1: iProver_f40_1] : p39(X0_iProver_f40_1,X0_iProver_f40_1),
inference(subtyping,[status(esa)],[c_138]) ).
tcf(c_718,negated_conjecture,
! [X0_iProver_p48_2: iProver_p48_2] : p47(X0_iProver_p48_2,X0_iProver_p48_2),
inference(subtyping,[status(esa)],[c_134]) ).
tcf(c_739,plain,
p39(c59,c59),
inference(instantiation,[status(thm)],[c_714]) ).
tcf(c_743,plain,
p47(c60,c60),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_749,plain,
p7(f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58),c58),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_750,plain,
( p46(f23(c53,f35(c58,c61)),f5(c49,c50))
| ~ p45(f20(c52,c50),c58) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_760,plain,
( p36(f40(c59,c50),f40(c59,c50))
| ~ p3(c50,c50)
| ~ p39(c59,c59) ),
inference(instantiation,[status(thm)],[c_655]) ).
tcf(c_781,plain,
! [X0_iProver_f8_2: iProver_f8_2,X0_iProver_f35_2: iProver_f35_2,X1_iProver_f8_2: iProver_f8_2] :
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),c60)
| ~ p45(f20(c52,c50),X1_iProver_f8_2)
| ~ p46(f23(c53,f35(X0_iProver_f8_2,X0_iProver_f35_2)),f5(c49,c50)) ),
inference(instantiation,[status(thm)],[c_642]) ).
tcf(c_782,plain,
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),c60)
| ~ p45(f20(c52,c50),c58)
| ~ p46(f23(c53,f35(c58,c61)),f5(c49,c50)) ),
inference(instantiation,[status(thm)],[c_781]) ).
tcf(c_799,plain,
! [X0_iProver_f8_2: iProver_f8_2,X0_iProver_p48_1: iProver_p48_1,X0_iProver_p48_2: iProver_p48_2,X0_iProver_f35_2: iProver_f35_2,X1_iProver_f8_2: iProver_f8_2] :
( p48(X0_iProver_p48_1,X0_iProver_p48_2)
| ~ p47(c60,X0_iProver_p48_2)
| ~ p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),c60)
| ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),X0_iProver_p48_1) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_822,plain,
! [X0_iProver_f8_2: iProver_f8_2,X0_iProver_p48_2: iProver_p48_2,X0_iProver_f38_1: iProver_f38_1,X0_iProver_f35_2: iProver_f35_2,X1_iProver_f8_2: iProver_f8_2,X2_iProver_f8_2: iProver_f8_2] :
( p48(f38(X0_iProver_f38_1,X2_iProver_f8_2),X0_iProver_p48_2)
| ~ p47(c60,X0_iProver_p48_2)
| ~ p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),c60)
| ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),f38(X0_iProver_f38_1,X2_iProver_f8_2)) ),
inference(instantiation,[status(thm)],[c_799]) ).
tcf(c_873,plain,
! [X0_iProver_f8_2: iProver_f8_2,X0_iProver_f38_1: iProver_f38_1,X0_iProver_f35_2: iProver_f35_2,X1_iProver_f8_2: iProver_f8_2,X2_iProver_f8_2: iProver_f8_2] :
( p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),f38(X0_iProver_f38_1,X2_iProver_f8_2))
| ~ p36(f40(c59,c50),X0_iProver_f38_1)
| ~ p7(f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2),X2_iProver_f8_2) ),
inference(instantiation,[status(thm)],[c_656]) ).
tcf(c_990,plain,
! [X0_iProver_f5_2: iProver_f5_2,X0_iProver_f8_2: iProver_f8_2,X0_iProver_f40_1: iProver_f40_1,X0_iProver_f35_2: iProver_f35_2,X1_iProver_f8_2: iProver_f8_2,X2_iProver_f8_2: iProver_f8_2] :
( p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),f38(f40(X0_iProver_f40_1,X0_iProver_f5_2),X2_iProver_f8_2))
| ~ p36(f40(c59,c50),f40(X0_iProver_f40_1,X0_iProver_f5_2))
| ~ p7(f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2),X2_iProver_f8_2) ),
inference(instantiation,[status(thm)],[c_873]) ).
tcf(c_991,plain,
( p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),f38(f40(c59,c50),c58))
| ~ p36(f40(c59,c50),f40(c59,c50))
| ~ p7(f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58),c58) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_1184,plain,
! [X0_iProver_f5_2: iProver_f5_2,X0_iProver_f8_2: iProver_f8_2,X0_iProver_p48_2: iProver_p48_2,X0_iProver_f40_1: iProver_f40_1,X0_iProver_f35_2: iProver_f35_2,X1_iProver_f8_2: iProver_f8_2,X2_iProver_f8_2: iProver_f8_2] :
( p48(f38(f40(X0_iProver_f40_1,X0_iProver_f5_2),X2_iProver_f8_2),X0_iProver_p48_2)
| ~ p47(c60,X0_iProver_p48_2)
| ~ p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),c60)
| ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(X0_iProver_f8_2,X0_iProver_f35_2))),X1_iProver_f8_2)),f38(f40(X0_iProver_f40_1,X0_iProver_f5_2),X2_iProver_f8_2)) ),
inference(instantiation,[status(thm)],[c_822]) ).
tcf(c_1185,plain,
( p48(f38(f40(c59,c50),c58),c60)
| ~ p47(c60,c60)
| ~ p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),c60)
| ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,c61))),c58)),f38(f40(c59,c50),c58)) ),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_1186,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1185,c_991,c_782,c_760,c_750,c_749,c_743,c_739,c_158,c_156,c_224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 02:07:58 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 3.52/1.35 % SZS status Started for theBenchmark.p
% 3.52/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.35
% 3.52/1.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.52/1.35
% 3.52/1.35 % ------ iProver source info
% 3.52/1.35
% 3.52/1.35 % git: date: 2026-07-19 20:42:38 +0200
% 3.52/1.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.52/1.35 % git: non_committed_changes: false
% 3.52/1.35
% 3.52/1.35 % ------ Parsing...% successful
% 3.52/1.35
% 3.52/1.35
% 3.52/1.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.52/1.35
% 3.52/1.35 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.52/1.35
% 3.52/1.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.52/1.35 % ------ Proving...
% 3.52/1.35 % ------ Problem Properties
% 3.52/1.35
% 3.52/1.35 %
% 3.52/1.35 % clauses 81
% 3.52/1.35 % conjectures 81
% 3.52/1.35 % EPR 55
% 3.52/1.35 % Horn 81
% 3.52/1.35 % unary 31
% 3.52/1.35 % binary 2
% 3.52/1.35 % lits 182
% 3.52/1.35 % lits eq 0
% 3.52/1.35 % fd_pure 0
% 3.52/1.35 % fd_pseudo 0
% 3.52/1.35 % fd_cond 0
% 3.52/1.35 % fd_pseudo_cond 0
% 3.52/1.35 % AC symbols 0
% 3.52/1.35
% 3.52/1.35 % ------ Input Options Time Limit: Unbounded
% 3.52/1.35
% 3.52/1.35
% 3.52/1.35 % ------
% 3.52/1.35 % Current options:
% 3.52/1.35 % ------
% 3.52/1.35
% 3.52/1.35
% 3.52/1.35 %
% 3.52/1.35
% 3.52/1.35 % ------ Proving...
% 3.52/1.35 %
% 3.52/1.35
% 3.52/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.35
% 3.52/1.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.52/1.35
% 3.52/1.35
%------------------------------------------------------------------------------