%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA010-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 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 : Tue Sep 29 09:30:51 AM UTC 2026
% Result : Unsatisfiable 2.31s 0.71s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f4,negated_conjecture,
! [X0] : c_lessequals(c_0,v_f(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5,negated_conjecture,
! [X0] : c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6,negated_conjecture,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f8,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f9,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f10,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f8,f9]) ).
fof(f11,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f10,f7]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(resolution,[],[f2,f4]) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(forward_subsumption_resolution,[],[f14,f11]) ).
fof(f18,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[],[f3,f9]) ).
fof(f19,plain,
! [X0] : c_lessequals(c_0,c_times(v_c,v_g(X0),t_b),t_b),
inference(resolution,[],[f17,f5]) ).
fof(f20,plain,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) ),
inference(resolution,[],[f19,f1]) ).
fof(f23,plain,
! [X0] : c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b),
inference(forward_subsumption_resolution,[],[f20,f10]) ).
fof(f26,plain,
! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(superposition,[],[f6,f18]) ).
fof(f41,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(superposition,[],[f26,f23]) ).
fof(f42,plain,
$false,
inference(forward_subsumption_resolution,[],[f41,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ANA010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:27:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/0.71 % (3702771)Input is clausal, will run a generic CNF schedule.
% 2.31/0.71 % (3702779)lrs+10_1_sil=8000:sp=occurrence:random_seed=2598992323:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.31/0.71 % (3702780)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1605291438:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.31/0.71 % (3702782)dis-21_1_sil=8000:lcm=predicate:random_seed=712748042:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.31/0.71 % (3702776)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3370917204:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.31/0.71 % (3702777)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1395267234:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.31/0.71 % (3702779)First to succeed.
% 2.31/0.71 % (3702779)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3702771"
% 2.31/0.71 % (3702778)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3283602779:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.31/0.71 % (3702781)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2792709566:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.31/0.71 % (3702780)Also succeeded, but the first one will report.
% 2.31/0.71 % (3702781)Also succeeded, but the first one will report.
% 2.31/0.71 % (3702782)Instruction limit reached!
% 2.31/0.71 % (3702782)------------------------------
% 2.31/0.71 % (3702782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/0.71 % (3702782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (3702782)CaDiCaL version: 2.1.3
% 2.31/0.71 % (3702782)Termination reason: Instruction limit
% 2.31/0.71 % (3702782)Termination phase: Saturation
% 2.31/0.71 % (3702782)Time elapsed: 0.031 s
% 2.31/0.71 % (3702782)Peak memory usage: 87 MB
% 2.31/0.71 % (3702782)Instructions burned: 118 (million)
% 2.31/0.71 % (3702790)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1729003757:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.31/0.71 % (3702790)Also succeeded, but the first one will report.
% 2.31/0.71 % (3702779)Refutation found. Thanks to Tanya!
% 2.31/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.31/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.71 % (3702779)------------------------------
% 2.31/0.71 % (3702779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/0.71 % (3702779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.71 % (3702779)CaDiCaL version: 2.1.3
% 2.31/0.71 % (3702779)Termination reason: Refutation
% 2.31/0.71 % (3702779)Time elapsed: 0.002 s
% 2.31/0.71 % (3702779)Peak memory usage: 88 MB
% 2.31/0.71 % (3702779)Instructions burned: 3 (million)
% 2.31/0.71 % (3702779)------------------------------
% 2.31/0.71 % (3702779)------------------------------
% 2.31/0.71 % (3702771)Success in time 0.294 s
% 2.31/0.71 % Vampire exiting
%------------------------------------------------------------------------------